What is a Perfect Square Number?
In this article we'll answer the question "what is a perfect square?" and list the first 1000 examples of perfect square numbers for you to use with students in the classroom.
What is a perfect square?
Put simply, a perfect square is the result of any positive integer that is squared. To square it, you multiply the number by itself.
For example, let's use the number 4 and work out the perfect square:
4 × 4 = 12
The result we get by squaring 4 (which can also be shown as 42) is 12, and 12 is a perfect square.
Whenever you calculate the square root of a number which is perfect, the result will be the original number we started with in this example.
For example:
√12 = 4
Just incase you're new to square roots and numbers, let's quickly define what a positive integer is. A positive integer is a whole number which has no fractional or decimal parts.
A perfect square number has to be a whole number and cannot have any decimals.
List of Perfect Squares
In the list below, we have calculated the first 1,000 perfect square numbers and included some information about them. Any numbers that resulted in a number which was not a positive integer have been excluded from the list, as those are not perfect squares.
| Positive Integer | Integer Squared | Perfect Squares | Square Root | Original Integer |
|---|---|---|---|---|
| 1 | 12 = | 1 | √1 = | 1 |
| 2 | 22 = | 4 | √4 = | 2 |
| 3 | 32 = | 9 | √9 = | 3 |
| 4 | 42 = | 16 | √16 = | 4 |
| 5 | 52 = | 25 | √25 = | 5 |
| 6 | 62 = | 36 | √36 = | 6 |
| 7 | 72 = | 49 | √49 = | 7 |
| 8 | 82 = | 64 | √64 = | 8 |
| 9 | 92 = | 81 | √81 = | 9 |
| 10 | 102 = | 100 | √100 = | 10 |
| 11 | 112 = | 121 | √121 = | 11 |
| 12 | 122 = | 144 | √144 = | 12 |
| 13 | 132 = | 169 | √169 = | 13 |
| 14 | 142 = | 196 | √196 = | 14 |
| 15 | 152 = | 225 | √225 = | 15 |
| 16 | 162 = | 256 | √256 = | 16 |
| 17 | 172 = | 289 | √289 = | 17 |
| 18 | 182 = | 324 | √324 = | 18 |
| 19 | 192 = | 361 | √361 = | 19 |
| 20 | 202 = | 400 | √400 = | 20 |
| 21 | 212 = | 441 | √441 = | 21 |
| 22 | 222 = | 484 | √484 = | 22 |
| 23 | 232 = | 529 | √529 = | 23 |
| 24 | 242 = | 576 | √576 = | 24 |
| 25 | 252 = | 625 | √625 = | 25 |
| 26 | 262 = | 676 | √676 = | 26 |
| 27 | 272 = | 729 | √729 = | 27 |
| 28 | 282 = | 784 | √784 = | 28 |
| 29 | 292 = | 841 | √841 = | 29 |
| 30 | 302 = | 900 | √900 = | 30 |
| 31 | 312 = | 961 | √961 = | 31 |
| 32 | 322 = | 1024 | √1024 = | 32 |
| 33 | 332 = | 1089 | √1089 = | 33 |
| 34 | 342 = | 1156 | √1156 = | 34 |
| 35 | 352 = | 1225 | √1225 = | 35 |
| 36 | 362 = | 1296 | √1296 = | 36 |
| 37 | 372 = | 1369 | √1369 = | 37 |
| 38 | 382 = | 1444 | √1444 = | 38 |
| 39 | 392 = | 1521 | √1521 = | 39 |
| 40 | 402 = | 1600 | √1600 = | 40 |
| 41 | 412 = | 1681 | √1681 = | 41 |
| 42 | 422 = | 1764 | √1764 = | 42 |
| 43 | 432 = | 1849 | √1849 = | 43 |
| 44 | 442 = | 1936 | √1936 = | 44 |
| 45 | 452 = | 2025 | √2025 = | 45 |
| 46 | 462 = | 2116 | √2116 = | 46 |
| 47 | 472 = | 2209 | √2209 = | 47 |
| 48 | 482 = | 2304 | √2304 = | 48 |
| 49 | 492 = | 2401 | √2401 = | 49 |
| 50 | 502 = | 2500 | √2500 = | 50 |
| 51 | 512 = | 2601 | √2601 = | 51 |
| 52 | 522 = | 2704 | √2704 = | 52 |
| 53 | 532 = | 2809 | √2809 = | 53 |
| 54 | 542 = | 2916 | √2916 = | 54 |
| 55 | 552 = | 3025 | √3025 = | 55 |
| 56 | 562 = | 3136 | √3136 = | 56 |
| 57 | 572 = | 3249 | √3249 = | 57 |
| 58 | 582 = | 3364 | √3364 = | 58 |
| 59 | 592 = | 3481 | √3481 = | 59 |
| 60 | 602 = | 3600 | √3600 = | 60 |
| 61 | 612 = | 3721 | √3721 = | 61 |
| 62 | 622 = | 3844 | √3844 = | 62 |
| 63 | 632 = | 3969 | √3969 = | 63 |
| 64 | 642 = | 4096 | √4096 = | 64 |
| 65 | 652 = | 4225 | √4225 = | 65 |
| 66 | 662 = | 4356 | √4356 = | 66 |
| 67 | 672 = | 4489 | √4489 = | 67 |
| 68 | 682 = | 4624 | √4624 = | 68 |
| 69 | 692 = | 4761 | √4761 = | 69 |
| 70 | 702 = | 4900 | √4900 = | 70 |
| 71 | 712 = | 5041 | √5041 = | 71 |
| 72 | 722 = | 5184 | √5184 = | 72 |
| 73 | 732 = | 5329 | √5329 = | 73 |
| 74 | 742 = | 5476 | √5476 = | 74 |
| 75 | 752 = | 5625 | √5625 = | 75 |
| 76 | 762 = | 5776 | √5776 = | 76 |
| 77 | 772 = | 5929 | √5929 = | 77 |
| 78 | 782 = | 6084 | √6084 = | 78 |
| 79 | 792 = | 6241 | √6241 = | 79 |
| 80 | 802 = | 6400 | √6400 = | 80 |
| 81 | 812 = | 6561 | √6561 = | 81 |
| 82 | 822 = | 6724 | √6724 = | 82 |
| 83 | 832 = | 6889 | √6889 = | 83 |
| 84 | 842 = | 7056 | √7056 = | 84 |
| 85 | 852 = | 7225 | √7225 = | 85 |
| 86 | 862 = | 7396 | √7396 = | 86 |
| 87 | 872 = | 7569 | √7569 = | 87 |
| 88 | 882 = | 7744 | √7744 = | 88 |
| 89 | 892 = | 7921 | √7921 = | 89 |
| 90 | 902 = | 8100 | √8100 = | 90 |
| 91 | 912 = | 8281 | √8281 = | 91 |
| 92 | 922 = | 8464 | √8464 = | 92 |
| 93 | 932 = | 8649 | √8649 = | 93 |
| 94 | 942 = | 8836 | √8836 = | 94 |
| 95 | 952 = | 9025 | √9025 = | 95 |
| 96 | 962 = | 9216 | √9216 = | 96 |
| 97 | 972 = | 9409 | √9409 = | 97 |
| 98 | 982 = | 9604 | √9604 = | 98 |
| 99 | 992 = | 9801 | √9801 = | 99 |
| 100 | 1002 = | 10000 | √10000 = | 100 |
| 101 | 1012 = | 10201 | √10201 = | 101 |
| 102 | 1022 = | 10404 | √10404 = | 102 |
| 103 | 1032 = | 10609 | √10609 = | 103 |
| 104 | 1042 = | 10816 | √10816 = | 104 |
| 105 | 1052 = | 11025 | √11025 = | 105 |
| 106 | 1062 = | 11236 | √11236 = | 106 |
| 107 | 1072 = | 11449 | √11449 = | 107 |
| 108 | 1082 = | 11664 | √11664 = | 108 |
| 109 | 1092 = | 11881 | √11881 = | 109 |
| 110 | 1102 = | 12100 | √12100 = | 110 |
| 111 | 1112 = | 12321 | √12321 = | 111 |
| 112 | 1122 = | 12544 | √12544 = | 112 |
| 113 | 1132 = | 12769 | √12769 = | 113 |
| 114 | 1142 = | 12996 | √12996 = | 114 |
| 115 | 1152 = | 13225 | √13225 = | 115 |
| 116 | 1162 = | 13456 | √13456 = | 116 |
| 117 | 1172 = | 13689 | √13689 = | 117 |
| 118 | 1182 = | 13924 | √13924 = | 118 |
| 119 | 1192 = | 14161 | √14161 = | 119 |
| 120 | 1202 = | 14400 | √14400 = | 120 |
| 121 | 1212 = | 14641 | √14641 = | 121 |
| 122 | 1222 = | 14884 | √14884 = | 122 |
| 123 | 1232 = | 15129 | √15129 = | 123 |
| 124 | 1242 = | 15376 | √15376 = | 124 |
| 125 | 1252 = | 15625 | √15625 = | 125 |
| 126 | 1262 = | 15876 | √15876 = | 126 |
| 127 | 1272 = | 16129 | √16129 = | 127 |
| 128 | 1282 = | 16384 | √16384 = | 128 |
| 129 | 1292 = | 16641 | √16641 = | 129 |
| 130 | 1302 = | 16900 | √16900 = | 130 |
| 131 | 1312 = | 17161 | √17161 = | 131 |
| 132 | 1322 = | 17424 | √17424 = | 132 |
| 133 | 1332 = | 17689 | √17689 = | 133 |
| 134 | 1342 = | 17956 | √17956 = | 134 |
| 135 | 1352 = | 18225 | √18225 = | 135 |
| 136 | 1362 = | 18496 | √18496 = | 136 |
| 137 | 1372 = | 18769 | √18769 = | 137 |
| 138 | 1382 = | 19044 | √19044 = | 138 |
| 139 | 1392 = | 19321 | √19321 = | 139 |
| 140 | 1402 = | 19600 | √19600 = | 140 |
| 141 | 1412 = | 19881 | √19881 = | 141 |
| 142 | 1422 = | 20164 | √20164 = | 142 |
| 143 | 1432 = | 20449 | √20449 = | 143 |
| 144 | 1442 = | 20736 | √20736 = | 144 |
| 145 | 1452 = | 21025 | √21025 = | 145 |
| 146 | 1462 = | 21316 | √21316 = | 146 |
| 147 | 1472 = | 21609 | √21609 = | 147 |
| 148 | 1482 = | 21904 | √21904 = | 148 |
| 149 | 1492 = | 22201 | √22201 = | 149 |
| 150 | 1502 = | 22500 | √22500 = | 150 |
| 151 | 1512 = | 22801 | √22801 = | 151 |
| 152 | 1522 = | 23104 | √23104 = | 152 |
| 153 | 1532 = | 23409 | √23409 = | 153 |
| 154 | 1542 = | 23716 | √23716 = | 154 |
| 155 | 1552 = | 24025 | √24025 = | 155 |
| 156 | 1562 = | 24336 | √24336 = | 156 |
| 157 | 1572 = | 24649 | √24649 = | 157 |
| 158 | 1582 = | 24964 | √24964 = | 158 |
| 159 | 1592 = | 25281 | √25281 = | 159 |
| 160 | 1602 = | 25600 | √25600 = | 160 |
| 161 | 1612 = | 25921 | √25921 = | 161 |
| 162 | 1622 = | 26244 | √26244 = | 162 |
| 163 | 1632 = | 26569 | √26569 = | 163 |
| 164 | 1642 = | 26896 | √26896 = | 164 |
| 165 | 1652 = | 27225 | √27225 = | 165 |
| 166 | 1662 = | 27556 | √27556 = | 166 |
| 167 | 1672 = | 27889 | √27889 = | 167 |
| 168 | 1682 = | 28224 | √28224 = | 168 |
| 169 | 1692 = | 28561 | √28561 = | 169 |
| 170 | 1702 = | 28900 | √28900 = | 170 |
| 171 | 1712 = | 29241 | √29241 = | 171 |
| 172 | 1722 = | 29584 | √29584 = | 172 |
| 173 | 1732 = | 29929 | √29929 = | 173 |
| 174 | 1742 = | 30276 | √30276 = | 174 |
| 175 | 1752 = | 30625 | √30625 = | 175 |
| 176 | 1762 = | 30976 | √30976 = | 176 |
| 177 | 1772 = | 31329 | √31329 = | 177 |
| 178 | 1782 = | 31684 | √31684 = | 178 |
| 179 | 1792 = | 32041 | √32041 = | 179 |
| 180 | 1802 = | 32400 | √32400 = | 180 |
| 181 | 1812 = | 32761 | √32761 = | 181 |
| 182 | 1822 = | 33124 | √33124 = | 182 |
| 183 | 1832 = | 33489 | √33489 = | 183 |
| 184 | 1842 = | 33856 | √33856 = | 184 |
| 185 | 1852 = | 34225 | √34225 = | 185 |
| 186 | 1862 = | 34596 | √34596 = | 186 |
| 187 | 1872 = | 34969 | √34969 = | 187 |
| 188 | 1882 = | 35344 | √35344 = | 188 |
| 189 | 1892 = | 35721 | √35721 = | 189 |
| 190 | 1902 = | 36100 | √36100 = | 190 |
| 191 | 1912 = | 36481 | √36481 = | 191 |
| 192 | 1922 = | 36864 | √36864 = | 192 |
| 193 | 1932 = | 37249 | √37249 = | 193 |
| 194 | 1942 = | 37636 | √37636 = | 194 |
| 195 | 1952 = | 38025 | √38025 = | 195 |
| 196 | 1962 = | 38416 | √38416 = | 196 |
| 197 | 1972 = | 38809 | √38809 = | 197 |
| 198 | 1982 = | 39204 | √39204 = | 198 |
| 199 | 1992 = | 39601 | √39601 = | 199 |
| 200 | 2002 = | 40000 | √40000 = | 200 |
| 201 | 2012 = | 40401 | √40401 = | 201 |
| 202 | 2022 = | 40804 | √40804 = | 202 |
| 203 | 2032 = | 41209 | √41209 = | 203 |
| 204 | 2042 = | 41616 | √41616 = | 204 |
| 205 | 2052 = | 42025 | √42025 = | 205 |
| 206 | 2062 = | 42436 | √42436 = | 206 |
| 207 | 2072 = | 42849 | √42849 = | 207 |
| 208 | 2082 = | 43264 | √43264 = | 208 |
| 209 | 2092 = | 43681 | √43681 = | 209 |
| 210 | 2102 = | 44100 | √44100 = | 210 |
| 211 | 2112 = | 44521 | √44521 = | 211 |
| 212 | 2122 = | 44944 | √44944 = | 212 |
| 213 | 2132 = | 45369 | √45369 = | 213 |
| 214 | 2142 = | 45796 | √45796 = | 214 |
| 215 | 2152 = | 46225 | √46225 = | 215 |
| 216 | 2162 = | 46656 | √46656 = | 216 |
| 217 | 2172 = | 47089 | √47089 = | 217 |
| 218 | 2182 = | 47524 | √47524 = | 218 |
| 219 | 2192 = | 47961 | √47961 = | 219 |
| 220 | 2202 = | 48400 | √48400 = | 220 |
| 221 | 2212 = | 48841 | √48841 = | 221 |
| 222 | 2222 = | 49284 | √49284 = | 222 |
| 223 | 2232 = | 49729 | √49729 = | 223 |
| 224 | 2242 = | 50176 | √50176 = | 224 |
| 225 | 2252 = | 50625 | √50625 = | 225 |
| 226 | 2262 = | 51076 | √51076 = | 226 |
| 227 | 2272 = | 51529 | √51529 = | 227 |
| 228 | 2282 = | 51984 | √51984 = | 228 |
| 229 | 2292 = | 52441 | √52441 = | 229 |
| 230 | 2302 = | 52900 | √52900 = | 230 |
| 231 | 2312 = | 53361 | √53361 = | 231 |
| 232 | 2322 = | 53824 | √53824 = | 232 |
| 233 | 2332 = | 54289 | √54289 = | 233 |
| 234 | 2342 = | 54756 | √54756 = | 234 |
| 235 | 2352 = | 55225 | √55225 = | 235 |
| 236 | 2362 = | 55696 | √55696 = | 236 |
| 237 | 2372 = | 56169 | √56169 = | 237 |
| 238 | 2382 = | 56644 | √56644 = | 238 |
| 239 | 2392 = | 57121 | √57121 = | 239 |
| 240 | 2402 = | 57600 | √57600 = | 240 |
| 241 | 2412 = | 58081 | √58081 = | 241 |
| 242 | 2422 = | 58564 | √58564 = | 242 |
| 243 | 2432 = | 59049 | √59049 = | 243 |
| 244 | 2442 = | 59536 | √59536 = | 244 |
| 245 | 2452 = | 60025 | √60025 = | 245 |
| 246 | 2462 = | 60516 | √60516 = | 246 |
| 247 | 2472 = | 61009 | √61009 = | 247 |
| 248 | 2482 = | 61504 | √61504 = | 248 |
| 249 | 2492 = | 62001 | √62001 = | 249 |
| 250 | 2502 = | 62500 | √62500 = | 250 |
| 251 | 2512 = | 63001 | √63001 = | 251 |
| 252 | 2522 = | 63504 | √63504 = | 252 |
| 253 | 2532 = | 64009 | √64009 = | 253 |
| 254 | 2542 = | 64516 | √64516 = | 254 |
| 255 | 2552 = | 65025 | √65025 = | 255 |
| 256 | 2562 = | 65536 | √65536 = | 256 |
| 257 | 2572 = | 66049 | √66049 = | 257 |
| 258 | 2582 = | 66564 | √66564 = | 258 |
| 259 | 2592 = | 67081 | √67081 = | 259 |
| 260 | 2602 = | 67600 | √67600 = | 260 |
| 261 | 2612 = | 68121 | √68121 = | 261 |
| 262 | 2622 = | 68644 | √68644 = | 262 |
| 263 | 2632 = | 69169 | √69169 = | 263 |
| 264 | 2642 = | 69696 | √69696 = | 264 |
| 265 | 2652 = | 70225 | √70225 = | 265 |
| 266 | 2662 = | 70756 | √70756 = | 266 |
| 267 | 2672 = | 71289 | √71289 = | 267 |
| 268 | 2682 = | 71824 | √71824 = | 268 |
| 269 | 2692 = | 72361 | √72361 = | 269 |
| 270 | 2702 = | 72900 | √72900 = | 270 |
| 271 | 2712 = | 73441 | √73441 = | 271 |
| 272 | 2722 = | 73984 | √73984 = | 272 |
| 273 | 2732 = | 74529 | √74529 = | 273 |
| 274 | 2742 = | 75076 | √75076 = | 274 |
| 275 | 2752 = | 75625 | √75625 = | 275 |
| 276 | 2762 = | 76176 | √76176 = | 276 |
| 277 | 2772 = | 76729 | √76729 = | 277 |
| 278 | 2782 = | 77284 | √77284 = | 278 |
| 279 | 2792 = | 77841 | √77841 = | 279 |
| 280 | 2802 = | 78400 | √78400 = | 280 |
| 281 | 2812 = | 78961 | √78961 = | 281 |
| 282 | 2822 = | 79524 | √79524 = | 282 |
| 283 | 2832 = | 80089 | √80089 = | 283 |
| 284 | 2842 = | 80656 | √80656 = | 284 |
| 285 | 2852 = | 81225 | √81225 = | 285 |
| 286 | 2862 = | 81796 | √81796 = | 286 |
| 287 | 2872 = | 82369 | √82369 = | 287 |
| 288 | 2882 = | 82944 | √82944 = | 288 |
| 289 | 2892 = | 83521 | √83521 = | 289 |
| 290 | 2902 = | 84100 | √84100 = | 290 |
| 291 | 2912 = | 84681 | √84681 = | 291 |
| 292 | 2922 = | 85264 | √85264 = | 292 |
| 293 | 2932 = | 85849 | √85849 = | 293 |
| 294 | 2942 = | 86436 | √86436 = | 294 |
| 295 | 2952 = | 87025 | √87025 = | 295 |
| 296 | 2962 = | 87616 | √87616 = | 296 |
| 297 | 2972 = | 88209 | √88209 = | 297 |
| 298 | 2982 = | 88804 | √88804 = | 298 |
| 299 | 2992 = | 89401 | √89401 = | 299 |
| 300 | 3002 = | 90000 | √90000 = | 300 |
| 301 | 3012 = | 90601 | √90601 = | 301 |
| 302 | 3022 = | 91204 | √91204 = | 302 |
| 303 | 3032 = | 91809 | √91809 = | 303 |
| 304 | 3042 = | 92416 | √92416 = | 304 |
| 305 | 3052 = | 93025 | √93025 = | 305 |
| 306 | 3062 = | 93636 | √93636 = | 306 |
| 307 | 3072 = | 94249 | √94249 = | 307 |
| 308 | 3082 = | 94864 | √94864 = | 308 |
| 309 | 3092 = | 95481 | √95481 = | 309 |
| 310 | 3102 = | 96100 | √96100 = | 310 |
| 311 | 3112 = | 96721 | √96721 = | 311 |
| 312 | 3122 = | 97344 | √97344 = | 312 |
| 313 | 3132 = | 97969 | √97969 = | 313 |
| 314 | 3142 = | 98596 | √98596 = | 314 |
| 315 | 3152 = | 99225 | √99225 = | 315 |
| 316 | 3162 = | 99856 | √99856 = | 316 |
| 317 | 3172 = | 100489 | √100489 = | 317 |
| 318 | 3182 = | 101124 | √101124 = | 318 |
| 319 | 3192 = | 101761 | √101761 = | 319 |
| 320 | 3202 = | 102400 | √102400 = | 320 |
| 321 | 3212 = | 103041 | √103041 = | 321 |
| 322 | 3222 = | 103684 | √103684 = | 322 |
| 323 | 3232 = | 104329 | √104329 = | 323 |
| 324 | 3242 = | 104976 | √104976 = | 324 |
| 325 | 3252 = | 105625 | √105625 = | 325 |
| 326 | 3262 = | 106276 | √106276 = | 326 |
| 327 | 3272 = | 106929 | √106929 = | 327 |
| 328 | 3282 = | 107584 | √107584 = | 328 |
| 329 | 3292 = | 108241 | √108241 = | 329 |
| 330 | 3302 = | 108900 | √108900 = | 330 |
| 331 | 3312 = | 109561 | √109561 = | 331 |
| 332 | 3322 = | 110224 | √110224 = | 332 |
| 333 | 3332 = | 110889 | √110889 = | 333 |
| 334 | 3342 = | 111556 | √111556 = | 334 |
| 335 | 3352 = | 112225 | √112225 = | 335 |
| 336 | 3362 = | 112896 | √112896 = | 336 |
| 337 | 3372 = | 113569 | √113569 = | 337 |
| 338 | 3382 = | 114244 | √114244 = | 338 |
| 339 | 3392 = | 114921 | √114921 = | 339 |
| 340 | 3402 = | 115600 | √115600 = | 340 |
| 341 | 3412 = | 116281 | √116281 = | 341 |
| 342 | 3422 = | 116964 | √116964 = | 342 |
| 343 | 3432 = | 117649 | √117649 = | 343 |
| 344 | 3442 = | 118336 | √118336 = | 344 |
| 345 | 3452 = | 119025 | √119025 = | 345 |
| 346 | 3462 = | 119716 | √119716 = | 346 |
| 347 | 3472 = | 120409 | √120409 = | 347 |
| 348 | 3482 = | 121104 | √121104 = | 348 |
| 349 | 3492 = | 121801 | √121801 = | 349 |
| 350 | 3502 = | 122500 | √122500 = | 350 |
| 351 | 3512 = | 123201 | √123201 = | 351 |
| 352 | 3522 = | 123904 | √123904 = | 352 |
| 353 | 3532 = | 124609 | √124609 = | 353 |
| 354 | 3542 = | 125316 | √125316 = | 354 |
| 355 | 3552 = | 126025 | √126025 = | 355 |
| 356 | 3562 = | 126736 | √126736 = | 356 |
| 357 | 3572 = | 127449 | √127449 = | 357 |
| 358 | 3582 = | 128164 | √128164 = | 358 |
| 359 | 3592 = | 128881 | √128881 = | 359 |
| 360 | 3602 = | 129600 | √129600 = | 360 |
| 361 | 3612 = | 130321 | √130321 = | 361 |
| 362 | 3622 = | 131044 | √131044 = | 362 |
| 363 | 3632 = | 131769 | √131769 = | 363 |
| 364 | 3642 = | 132496 | √132496 = | 364 |
| 365 | 3652 = | 133225 | √133225 = | 365 |
| 366 | 3662 = | 133956 | √133956 = | 366 |
| 367 | 3672 = | 134689 | √134689 = | 367 |
| 368 | 3682 = | 135424 | √135424 = | 368 |
| 369 | 3692 = | 136161 | √136161 = | 369 |
| 370 | 3702 = | 136900 | √136900 = | 370 |
| 371 | 3712 = | 137641 | √137641 = | 371 |
| 372 | 3722 = | 138384 | √138384 = | 372 |
| 373 | 3732 = | 139129 | √139129 = | 373 |
| 374 | 3742 = | 139876 | √139876 = | 374 |
| 375 | 3752 = | 140625 | √140625 = | 375 |
| 376 | 3762 = | 141376 | √141376 = | 376 |
| 377 | 3772 = | 142129 | √142129 = | 377 |
| 378 | 3782 = | 142884 | √142884 = | 378 |
| 379 | 3792 = | 143641 | √143641 = | 379 |
| 380 | 3802 = | 144400 | √144400 = | 380 |
| 381 | 3812 = | 145161 | √145161 = | 381 |
| 382 | 3822 = | 145924 | √145924 = | 382 |
| 383 | 3832 = | 146689 | √146689 = | 383 |
| 384 | 3842 = | 147456 | √147456 = | 384 |
| 385 | 3852 = | 148225 | √148225 = | 385 |
| 386 | 3862 = | 148996 | √148996 = | 386 |
| 387 | 3872 = | 149769 | √149769 = | 387 |
| 388 | 3882 = | 150544 | √150544 = | 388 |
| 389 | 3892 = | 151321 | √151321 = | 389 |
| 390 | 3902 = | 152100 | √152100 = | 390 |
| 391 | 3912 = | 152881 | √152881 = | 391 |
| 392 | 3922 = | 153664 | √153664 = | 392 |
| 393 | 3932 = | 154449 | √154449 = | 393 |
| 394 | 3942 = | 155236 | √155236 = | 394 |
| 395 | 3952 = | 156025 | √156025 = | 395 |
| 396 | 3962 = | 156816 | √156816 = | 396 |
| 397 | 3972 = | 157609 | √157609 = | 397 |
| 398 | 3982 = | 158404 | √158404 = | 398 |
| 399 | 3992 = | 159201 | √159201 = | 399 |
| 400 | 4002 = | 160000 | √160000 = | 400 |
| 401 | 4012 = | 160801 | √160801 = | 401 |
| 402 | 4022 = | 161604 | √161604 = | 402 |
| 403 | 4032 = | 162409 | √162409 = | 403 |
| 404 | 4042 = | 163216 | √163216 = | 404 |
| 405 | 4052 = | 164025 | √164025 = | 405 |
| 406 | 4062 = | 164836 | √164836 = | 406 |
| 407 | 4072 = | 165649 | √165649 = | 407 |
| 408 | 4082 = | 166464 | √166464 = | 408 |
| 409 | 4092 = | 167281 | √167281 = | 409 |
| 410 | 4102 = | 168100 | √168100 = | 410 |
| 411 | 4112 = | 168921 | √168921 = | 411 |
| 412 | 4122 = | 169744 | √169744 = | 412 |
| 413 | 4132 = | 170569 | √170569 = | 413 |
| 414 | 4142 = | 171396 | √171396 = | 414 |
| 415 | 4152 = | 172225 | √172225 = | 415 |
| 416 | 4162 = | 173056 | √173056 = | 416 |
| 417 | 4172 = | 173889 | √173889 = | 417 |
| 418 | 4182 = | 174724 | √174724 = | 418 |
| 419 | 4192 = | 175561 | √175561 = | 419 |
| 420 | 4202 = | 176400 | √176400 = | 420 |
| 421 | 4212 = | 177241 | √177241 = | 421 |
| 422 | 4222 = | 178084 | √178084 = | 422 |
| 423 | 4232 = | 178929 | √178929 = | 423 |
| 424 | 4242 = | 179776 | √179776 = | 424 |
| 425 | 4252 = | 180625 | √180625 = | 425 |
| 426 | 4262 = | 181476 | √181476 = | 426 |
| 427 | 4272 = | 182329 | √182329 = | 427 |
| 428 | 4282 = | 183184 | √183184 = | 428 |
| 429 | 4292 = | 184041 | √184041 = | 429 |
| 430 | 4302 = | 184900 | √184900 = | 430 |
| 431 | 4312 = | 185761 | √185761 = | 431 |
| 432 | 4322 = | 186624 | √186624 = | 432 |
| 433 | 4332 = | 187489 | √187489 = | 433 |
| 434 | 4342 = | 188356 | √188356 = | 434 |
| 435 | 4352 = | 189225 | √189225 = | 435 |
| 436 | 4362 = | 190096 | √190096 = | 436 |
| 437 | 4372 = | 190969 | √190969 = | 437 |
| 438 | 4382 = | 191844 | √191844 = | 438 |
| 439 | 4392 = | 192721 | √192721 = | 439 |
| 440 | 4402 = | 193600 | √193600 = | 440 |
| 441 | 4412 = | 194481 | √194481 = | 441 |
| 442 | 4422 = | 195364 | √195364 = | 442 |
| 443 | 4432 = | 196249 | √196249 = | 443 |
| 444 | 4442 = | 197136 | √197136 = | 444 |
| 445 | 4452 = | 198025 | √198025 = | 445 |
| 446 | 4462 = | 198916 | √198916 = | 446 |
| 447 | 4472 = | 199809 | √199809 = | 447 |
| 448 | 4482 = | 200704 | √200704 = | 448 |
| 449 | 4492 = | 201601 | √201601 = | 449 |
| 450 | 4502 = | 202500 | √202500 = | 450 |
| 451 | 4512 = | 203401 | √203401 = | 451 |
| 452 | 4522 = | 204304 | √204304 = | 452 |
| 453 | 4532 = | 205209 | √205209 = | 453 |
| 454 | 4542 = | 206116 | √206116 = | 454 |
| 455 | 4552 = | 207025 | √207025 = | 455 |
| 456 | 4562 = | 207936 | √207936 = | 456 |
| 457 | 4572 = | 208849 | √208849 = | 457 |
| 458 | 4582 = | 209764 | √209764 = | 458 |
| 459 | 4592 = | 210681 | √210681 = | 459 |
| 460 | 4602 = | 211600 | √211600 = | 460 |
| 461 | 4612 = | 212521 | √212521 = | 461 |
| 462 | 4622 = | 213444 | √213444 = | 462 |
| 463 | 4632 = | 214369 | √214369 = | 463 |
| 464 | 4642 = | 215296 | √215296 = | 464 |
| 465 | 4652 = | 216225 | √216225 = | 465 |
| 466 | 4662 = | 217156 | √217156 = | 466 |
| 467 | 4672 = | 218089 | √218089 = | 467 |
| 468 | 4682 = | 219024 | √219024 = | 468 |
| 469 | 4692 = | 219961 | √219961 = | 469 |
| 470 | 4702 = | 220900 | √220900 = | 470 |
| 471 | 4712 = | 221841 | √221841 = | 471 |
| 472 | 4722 = | 222784 | √222784 = | 472 |
| 473 | 4732 = | 223729 | √223729 = | 473 |
| 474 | 4742 = | 224676 | √224676 = | 474 |
| 475 | 4752 = | 225625 | √225625 = | 475 |
| 476 | 4762 = | 226576 | √226576 = | 476 |
| 477 | 4772 = | 227529 | √227529 = | 477 |
| 478 | 4782 = | 228484 | √228484 = | 478 |
| 479 | 4792 = | 229441 | √229441 = | 479 |
| 480 | 4802 = | 230400 | √230400 = | 480 |
| 481 | 4812 = | 231361 | √231361 = | 481 |
| 482 | 4822 = | 232324 | √232324 = | 482 |
| 483 | 4832 = | 233289 | √233289 = | 483 |
| 484 | 4842 = | 234256 | √234256 = | 484 |
| 485 | 4852 = | 235225 | √235225 = | 485 |
| 486 | 4862 = | 236196 | √236196 = | 486 |
| 487 | 4872 = | 237169 | √237169 = | 487 |
| 488 | 4882 = | 238144 | √238144 = | 488 |
| 489 | 4892 = | 239121 | √239121 = | 489 |
| 490 | 4902 = | 240100 | √240100 = | 490 |
| 491 | 4912 = | 241081 | √241081 = | 491 |
| 492 | 4922 = | 242064 | √242064 = | 492 |
| 493 | 4932 = | 243049 | √243049 = | 493 |
| 494 | 4942 = | 244036 | √244036 = | 494 |
| 495 | 4952 = | 245025 | √245025 = | 495 |
| 496 | 4962 = | 246016 | √246016 = | 496 |
| 497 | 4972 = | 247009 | √247009 = | 497 |
| 498 | 4982 = | 248004 | √248004 = | 498 |
| 499 | 4992 = | 249001 | √249001 = | 499 |
| 500 | 5002 = | 250000 | √250000 = | 500 |
| 501 | 5012 = | 251001 | √251001 = | 501 |
| 502 | 5022 = | 252004 | √252004 = | 502 |
| 503 | 5032 = | 253009 | √253009 = | 503 |
| 504 | 5042 = | 254016 | √254016 = | 504 |
| 505 | 5052 = | 255025 | √255025 = | 505 |
| 506 | 5062 = | 256036 | √256036 = | 506 |
| 507 | 5072 = | 257049 | √257049 = | 507 |
| 508 | 5082 = | 258064 | √258064 = | 508 |
| 509 | 5092 = | 259081 | √259081 = | 509 |
| 510 | 5102 = | 260100 | √260100 = | 510 |
| 511 | 5112 = | 261121 | √261121 = | 511 |
| 512 | 5122 = | 262144 | √262144 = | 512 |
| 513 | 5132 = | 263169 | √263169 = | 513 |
| 514 | 5142 = | 264196 | √264196 = | 514 |
| 515 | 5152 = | 265225 | √265225 = | 515 |
| 516 | 5162 = | 266256 | √266256 = | 516 |
| 517 | 5172 = | 267289 | √267289 = | 517 |
| 518 | 5182 = | 268324 | √268324 = | 518 |
| 519 | 5192 = | 269361 | √269361 = | 519 |
| 520 | 5202 = | 270400 | √270400 = | 520 |
| 521 | 5212 = | 271441 | √271441 = | 521 |
| 522 | 5222 = | 272484 | √272484 = | 522 |
| 523 | 5232 = | 273529 | √273529 = | 523 |
| 524 | 5242 = | 274576 | √274576 = | 524 |
| 525 | 5252 = | 275625 | √275625 = | 525 |
| 526 | 5262 = | 276676 | √276676 = | 526 |
| 527 | 5272 = | 277729 | √277729 = | 527 |
| 528 | 5282 = | 278784 | √278784 = | 528 |
| 529 | 5292 = | 279841 | √279841 = | 529 |
| 530 | 5302 = | 280900 | √280900 = | 530 |
| 531 | 5312 = | 281961 | √281961 = | 531 |
| 532 | 5322 = | 283024 | √283024 = | 532 |
| 533 | 5332 = | 284089 | √284089 = | 533 |
| 534 | 5342 = | 285156 | √285156 = | 534 |
| 535 | 5352 = | 286225 | √286225 = | 535 |
| 536 | 5362 = | 287296 | √287296 = | 536 |
| 537 | 5372 = | 288369 | √288369 = | 537 |
| 538 | 5382 = | 289444 | √289444 = | 538 |
| 539 | 5392 = | 290521 | √290521 = | 539 |
| 540 | 5402 = | 291600 | √291600 = | 540 |
| 541 | 5412 = | 292681 | √292681 = | 541 |
| 542 | 5422 = | 293764 | √293764 = | 542 |
| 543 | 5432 = | 294849 | √294849 = | 543 |
| 544 | 5442 = | 295936 | √295936 = | 544 |
| 545 | 5452 = | 297025 | √297025 = | 545 |
| 546 | 5462 = | 298116 | √298116 = | 546 |
| 547 | 5472 = | 299209 | √299209 = | 547 |
| 548 | 5482 = | 300304 | √300304 = | 548 |
| 549 | 5492 = | 301401 | √301401 = | 549 |
| 550 | 5502 = | 302500 | √302500 = | 550 |
| 551 | 5512 = | 303601 | √303601 = | 551 |
| 552 | 5522 = | 304704 | √304704 = | 552 |
| 553 | 5532 = | 305809 | √305809 = | 553 |
| 554 | 5542 = | 306916 | √306916 = | 554 |
| 555 | 5552 = | 308025 | √308025 = | 555 |
| 556 | 5562 = | 309136 | √309136 = | 556 |
| 557 | 5572 = | 310249 | √310249 = | 557 |
| 558 | 5582 = | 311364 | √311364 = | 558 |
| 559 | 5592 = | 312481 | √312481 = | 559 |
| 560 | 5602 = | 313600 | √313600 = | 560 |
| 561 | 5612 = | 314721 | √314721 = | 561 |
| 562 | 5622 = | 315844 | √315844 = | 562 |
| 563 | 5632 = | 316969 | √316969 = | 563 |
| 564 | 5642 = | 318096 | √318096 = | 564 |
| 565 | 5652 = | 319225 | √319225 = | 565 |
| 566 | 5662 = | 320356 | √320356 = | 566 |
| 567 | 5672 = | 321489 | √321489 = | 567 |
| 568 | 5682 = | 322624 | √322624 = | 568 |
| 569 | 5692 = | 323761 | √323761 = | 569 |
| 570 | 5702 = | 324900 | √324900 = | 570 |
| 571 | 5712 = | 326041 | √326041 = | 571 |
| 572 | 5722 = | 327184 | √327184 = | 572 |
| 573 | 5732 = | 328329 | √328329 = | 573 |
| 574 | 5742 = | 329476 | √329476 = | 574 |
| 575 | 5752 = | 330625 | √330625 = | 575 |
| 576 | 5762 = | 331776 | √331776 = | 576 |
| 577 | 5772 = | 332929 | √332929 = | 577 |
| 578 | 5782 = | 334084 | √334084 = | 578 |
| 579 | 5792 = | 335241 | √335241 = | 579 |
| 580 | 5802 = | 336400 | √336400 = | 580 |
| 581 | 5812 = | 337561 | √337561 = | 581 |
| 582 | 5822 = | 338724 | √338724 = | 582 |
| 583 | 5832 = | 339889 | √339889 = | 583 |
| 584 | 5842 = | 341056 | √341056 = | 584 |
| 585 | 5852 = | 342225 | √342225 = | 585 |
| 586 | 5862 = | 343396 | √343396 = | 586 |
| 587 | 5872 = | 344569 | √344569 = | 587 |
| 588 | 5882 = | 345744 | √345744 = | 588 |
| 589 | 5892 = | 346921 | √346921 = | 589 |
| 590 | 5902 = | 348100 | √348100 = | 590 |
| 591 | 5912 = | 349281 | √349281 = | 591 |
| 592 | 5922 = | 350464 | √350464 = | 592 |
| 593 | 5932 = | 351649 | √351649 = | 593 |
| 594 | 5942 = | 352836 | √352836 = | 594 |
| 595 | 5952 = | 354025 | √354025 = | 595 |
| 596 | 5962 = | 355216 | √355216 = | 596 |
| 597 | 5972 = | 356409 | √356409 = | 597 |
| 598 | 5982 = | 357604 | √357604 = | 598 |
| 599 | 5992 = | 358801 | √358801 = | 599 |
| 600 | 6002 = | 360000 | √360000 = | 600 |
| 601 | 6012 = | 361201 | √361201 = | 601 |
| 602 | 6022 = | 362404 | √362404 = | 602 |
| 603 | 6032 = | 363609 | √363609 = | 603 |
| 604 | 6042 = | 364816 | √364816 = | 604 |
| 605 | 6052 = | 366025 | √366025 = | 605 |
| 606 | 6062 = | 367236 | √367236 = | 606 |
| 607 | 6072 = | 368449 | √368449 = | 607 |
| 608 | 6082 = | 369664 | √369664 = | 608 |
| 609 | 6092 = | 370881 | √370881 = | 609 |
| 610 | 6102 = | 372100 | √372100 = | 610 |
| 611 | 6112 = | 373321 | √373321 = | 611 |
| 612 | 6122 = | 374544 | √374544 = | 612 |
| 613 | 6132 = | 375769 | √375769 = | 613 |
| 614 | 6142 = | 376996 | √376996 = | 614 |
| 615 | 6152 = | 378225 | √378225 = | 615 |
| 616 | 6162 = | 379456 | √379456 = | 616 |
| 617 | 6172 = | 380689 | √380689 = | 617 |
| 618 | 6182 = | 381924 | √381924 = | 618 |
| 619 | 6192 = | 383161 | √383161 = | 619 |
| 620 | 6202 = | 384400 | √384400 = | 620 |
| 621 | 6212 = | 385641 | √385641 = | 621 |
| 622 | 6222 = | 386884 | √386884 = | 622 |
| 623 | 6232 = | 388129 | √388129 = | 623 |
| 624 | 6242 = | 389376 | √389376 = | 624 |
| 625 | 6252 = | 390625 | √390625 = | 625 |
| 626 | 6262 = | 391876 | √391876 = | 626 |
| 627 | 6272 = | 393129 | √393129 = | 627 |
| 628 | 6282 = | 394384 | √394384 = | 628 |
| 629 | 6292 = | 395641 | √395641 = | 629 |
| 630 | 6302 = | 396900 | √396900 = | 630 |
| 631 | 6312 = | 398161 | √398161 = | 631 |
| 632 | 6322 = | 399424 | √399424 = | 632 |
| 633 | 6332 = | 400689 | √400689 = | 633 |
| 634 | 6342 = | 401956 | √401956 = | 634 |
| 635 | 6352 = | 403225 | √403225 = | 635 |
| 636 | 6362 = | 404496 | √404496 = | 636 |
| 637 | 6372 = | 405769 | √405769 = | 637 |
| 638 | 6382 = | 407044 | √407044 = | 638 |
| 639 | 6392 = | 408321 | √408321 = | 639 |
| 640 | 6402 = | 409600 | √409600 = | 640 |
| 641 | 6412 = | 410881 | √410881 = | 641 |
| 642 | 6422 = | 412164 | √412164 = | 642 |
| 643 | 6432 = | 413449 | √413449 = | 643 |
| 644 | 6442 = | 414736 | √414736 = | 644 |
| 645 | 6452 = | 416025 | √416025 = | 645 |
| 646 | 6462 = | 417316 | √417316 = | 646 |
| 647 | 6472 = | 418609 | √418609 = | 647 |
| 648 | 6482 = | 419904 | √419904 = | 648 |
| 649 | 6492 = | 421201 | √421201 = | 649 |
| 650 | 6502 = | 422500 | √422500 = | 650 |
| 651 | 6512 = | 423801 | √423801 = | 651 |
| 652 | 6522 = | 425104 | √425104 = | 652 |
| 653 | 6532 = | 426409 | √426409 = | 653 |
| 654 | 6542 = | 427716 | √427716 = | 654 |
| 655 | 6552 = | 429025 | √429025 = | 655 |
| 656 | 6562 = | 430336 | √430336 = | 656 |
| 657 | 6572 = | 431649 | √431649 = | 657 |
| 658 | 6582 = | 432964 | √432964 = | 658 |
| 659 | 6592 = | 434281 | √434281 = | 659 |
| 660 | 6602 = | 435600 | √435600 = | 660 |
| 661 | 6612 = | 436921 | √436921 = | 661 |
| 662 | 6622 = | 438244 | √438244 = | 662 |
| 663 | 6632 = | 439569 | √439569 = | 663 |
| 664 | 6642 = | 440896 | √440896 = | 664 |
| 665 | 6652 = | 442225 | √442225 = | 665 |
| 666 | 6662 = | 443556 | √443556 = | 666 |
| 667 | 6672 = | 444889 | √444889 = | 667 |
| 668 | 6682 = | 446224 | √446224 = | 668 |
| 669 | 6692 = | 447561 | √447561 = | 669 |
| 670 | 6702 = | 448900 | √448900 = | 670 |
| 671 | 6712 = | 450241 | √450241 = | 671 |
| 672 | 6722 = | 451584 | √451584 = | 672 |
| 673 | 6732 = | 452929 | √452929 = | 673 |
| 674 | 6742 = | 454276 | √454276 = | 674 |
| 675 | 6752 = | 455625 | √455625 = | 675 |
| 676 | 6762 = | 456976 | √456976 = | 676 |
| 677 | 6772 = | 458329 | √458329 = | 677 |
| 678 | 6782 = | 459684 | √459684 = | 678 |
| 679 | 6792 = | 461041 | √461041 = | 679 |
| 680 | 6802 = | 462400 | √462400 = | 680 |
| 681 | 6812 = | 463761 | √463761 = | 681 |
| 682 | 6822 = | 465124 | √465124 = | 682 |
| 683 | 6832 = | 466489 | √466489 = | 683 |
| 684 | 6842 = | 467856 | √467856 = | 684 |
| 685 | 6852 = | 469225 | √469225 = | 685 |
| 686 | 6862 = | 470596 | √470596 = | 686 |
| 687 | 6872 = | 471969 | √471969 = | 687 |
| 688 | 6882 = | 473344 | √473344 = | 688 |
| 689 | 6892 = | 474721 | √474721 = | 689 |
| 690 | 6902 = | 476100 | √476100 = | 690 |
| 691 | 6912 = | 477481 | √477481 = | 691 |
| 692 | 6922 = | 478864 | √478864 = | 692 |
| 693 | 6932 = | 480249 | √480249 = | 693 |
| 694 | 6942 = | 481636 | √481636 = | 694 |
| 695 | 6952 = | 483025 | √483025 = | 695 |
| 696 | 6962 = | 484416 | √484416 = | 696 |
| 697 | 6972 = | 485809 | √485809 = | 697 |
| 698 | 6982 = | 487204 | √487204 = | 698 |
| 699 | 6992 = | 488601 | √488601 = | 699 |
| 700 | 7002 = | 490000 | √490000 = | 700 |
| 701 | 7012 = | 491401 | √491401 = | 701 |
| 702 | 7022 = | 492804 | √492804 = | 702 |
| 703 | 7032 = | 494209 | √494209 = | 703 |
| 704 | 7042 = | 495616 | √495616 = | 704 |
| 705 | 7052 = | 497025 | √497025 = | 705 |
| 706 | 7062 = | 498436 | √498436 = | 706 |
| 707 | 7072 = | 499849 | √499849 = | 707 |
| 708 | 7082 = | 501264 | √501264 = | 708 |
| 709 | 7092 = | 502681 | √502681 = | 709 |
| 710 | 7102 = | 504100 | √504100 = | 710 |
| 711 | 7112 = | 505521 | √505521 = | 711 |
| 712 | 7122 = | 506944 | √506944 = | 712 |
| 713 | 7132 = | 508369 | √508369 = | 713 |
| 714 | 7142 = | 509796 | √509796 = | 714 |
| 715 | 7152 = | 511225 | √511225 = | 715 |
| 716 | 7162 = | 512656 | √512656 = | 716 |
| 717 | 7172 = | 514089 | √514089 = | 717 |
| 718 | 7182 = | 515524 | √515524 = | 718 |
| 719 | 7192 = | 516961 | √516961 = | 719 |
| 720 | 7202 = | 518400 | √518400 = | 720 |
| 721 | 7212 = | 519841 | √519841 = | 721 |
| 722 | 7222 = | 521284 | √521284 = | 722 |
| 723 | 7232 = | 522729 | √522729 = | 723 |
| 724 | 7242 = | 524176 | √524176 = | 724 |
| 725 | 7252 = | 525625 | √525625 = | 725 |
| 726 | 7262 = | 527076 | √527076 = | 726 |
| 727 | 7272 = | 528529 | √528529 = | 727 |
| 728 | 7282 = | 529984 | √529984 = | 728 |
| 729 | 7292 = | 531441 | √531441 = | 729 |
| 730 | 7302 = | 532900 | √532900 = | 730 |
| 731 | 7312 = | 534361 | √534361 = | 731 |
| 732 | 7322 = | 535824 | √535824 = | 732 |
| 733 | 7332 = | 537289 | √537289 = | 733 |
| 734 | 7342 = | 538756 | √538756 = | 734 |
| 735 | 7352 = | 540225 | √540225 = | 735 |
| 736 | 7362 = | 541696 | √541696 = | 736 |
| 737 | 7372 = | 543169 | √543169 = | 737 |
| 738 | 7382 = | 544644 | √544644 = | 738 |
| 739 | 7392 = | 546121 | √546121 = | 739 |
| 740 | 7402 = | 547600 | √547600 = | 740 |
| 741 | 7412 = | 549081 | √549081 = | 741 |
| 742 | 7422 = | 550564 | √550564 = | 742 |
| 743 | 7432 = | 552049 | √552049 = | 743 |
| 744 | 7442 = | 553536 | √553536 = | 744 |
| 745 | 7452 = | 555025 | √555025 = | 745 |
| 746 | 7462 = | 556516 | √556516 = | 746 |
| 747 | 7472 = | 558009 | √558009 = | 747 |
| 748 | 7482 = | 559504 | √559504 = | 748 |
| 749 | 7492 = | 561001 | √561001 = | 749 |
| 750 | 7502 = | 562500 | √562500 = | 750 |
| 751 | 7512 = | 564001 | √564001 = | 751 |
| 752 | 7522 = | 565504 | √565504 = | 752 |
| 753 | 7532 = | 567009 | √567009 = | 753 |
| 754 | 7542 = | 568516 | √568516 = | 754 |
| 755 | 7552 = | 570025 | √570025 = | 755 |
| 756 | 7562 = | 571536 | √571536 = | 756 |
| 757 | 7572 = | 573049 | √573049 = | 757 |
| 758 | 7582 = | 574564 | √574564 = | 758 |
| 759 | 7592 = | 576081 | √576081 = | 759 |
| 760 | 7602 = | 577600 | √577600 = | 760 |
| 761 | 7612 = | 579121 | √579121 = | 761 |
| 762 | 7622 = | 580644 | √580644 = | 762 |
| 763 | 7632 = | 582169 | √582169 = | 763 |
| 764 | 7642 = | 583696 | √583696 = | 764 |
| 765 | 7652 = | 585225 | √585225 = | 765 |
| 766 | 7662 = | 586756 | √586756 = | 766 |
| 767 | 7672 = | 588289 | √588289 = | 767 |
| 768 | 7682 = | 589824 | √589824 = | 768 |
| 769 | 7692 = | 591361 | √591361 = | 769 |
| 770 | 7702 = | 592900 | √592900 = | 770 |
| 771 | 7712 = | 594441 | √594441 = | 771 |
| 772 | 7722 = | 595984 | √595984 = | 772 |
| 773 | 7732 = | 597529 | √597529 = | 773 |
| 774 | 7742 = | 599076 | √599076 = | 774 |
| 775 | 7752 = | 600625 | √600625 = | 775 |
| 776 | 7762 = | 602176 | √602176 = | 776 |
| 777 | 7772 = | 603729 | √603729 = | 777 |
| 778 | 7782 = | 605284 | √605284 = | 778 |
| 779 | 7792 = | 606841 | √606841 = | 779 |
| 780 | 7802 = | 608400 | √608400 = | 780 |
| 781 | 7812 = | 609961 | √609961 = | 781 |
| 782 | 7822 = | 611524 | √611524 = | 782 |
| 783 | 7832 = | 613089 | √613089 = | 783 |
| 784 | 7842 = | 614656 | √614656 = | 784 |
| 785 | 7852 = | 616225 | √616225 = | 785 |
| 786 | 7862 = | 617796 | √617796 = | 786 |
| 787 | 7872 = | 619369 | √619369 = | 787 |
| 788 | 7882 = | 620944 | √620944 = | 788 |
| 789 | 7892 = | 622521 | √622521 = | 789 |
| 790 | 7902 = | 624100 | √624100 = | 790 |
| 791 | 7912 = | 625681 | √625681 = | 791 |
| 792 | 7922 = | 627264 | √627264 = | 792 |
| 793 | 7932 = | 628849 | √628849 = | 793 |
| 794 | 7942 = | 630436 | √630436 = | 794 |
| 795 | 7952 = | 632025 | √632025 = | 795 |
| 796 | 7962 = | 633616 | √633616 = | 796 |
| 797 | 7972 = | 635209 | √635209 = | 797 |
| 798 | 7982 = | 636804 | √636804 = | 798 |
| 799 | 7992 = | 638401 | √638401 = | 799 |
| 800 | 8002 = | 640000 | √640000 = | 800 |
| 801 | 8012 = | 641601 | √641601 = | 801 |
| 802 | 8022 = | 643204 | √643204 = | 802 |
| 803 | 8032 = | 644809 | √644809 = | 803 |
| 804 | 8042 = | 646416 | √646416 = | 804 |
| 805 | 8052 = | 648025 | √648025 = | 805 |
| 806 | 8062 = | 649636 | √649636 = | 806 |
| 807 | 8072 = | 651249 | √651249 = | 807 |
| 808 | 8082 = | 652864 | √652864 = | 808 |
| 809 | 8092 = | 654481 | √654481 = | 809 |
| 810 | 8102 = | 656100 | √656100 = | 810 |
| 811 | 8112 = | 657721 | √657721 = | 811 |
| 812 | 8122 = | 659344 | √659344 = | 812 |
| 813 | 8132 = | 660969 | √660969 = | 813 |
| 814 | 8142 = | 662596 | √662596 = | 814 |
| 815 | 8152 = | 664225 | √664225 = | 815 |
| 816 | 8162 = | 665856 | √665856 = | 816 |
| 817 | 8172 = | 667489 | √667489 = | 817 |
| 818 | 8182 = | 669124 | √669124 = | 818 |
| 819 | 8192 = | 670761 | √670761 = | 819 |
| 820 | 8202 = | 672400 | √672400 = | 820 |
| 821 | 8212 = | 674041 | √674041 = | 821 |
| 822 | 8222 = | 675684 | √675684 = | 822 |
| 823 | 8232 = | 677329 | √677329 = | 823 |
| 824 | 8242 = | 678976 | √678976 = | 824 |
| 825 | 8252 = | 680625 | √680625 = | 825 |
| 826 | 8262 = | 682276 | √682276 = | 826 |
| 827 | 8272 = | 683929 | √683929 = | 827 |
| 828 | 8282 = | 685584 | √685584 = | 828 |
| 829 | 8292 = | 687241 | √687241 = | 829 |
| 830 | 8302 = | 688900 | √688900 = | 830 |
| 831 | 8312 = | 690561 | √690561 = | 831 |
| 832 | 8322 = | 692224 | √692224 = | 832 |
| 833 | 8332 = | 693889 | √693889 = | 833 |
| 834 | 8342 = | 695556 | √695556 = | 834 |
| 835 | 8352 = | 697225 | √697225 = | 835 |
| 836 | 8362 = | 698896 | √698896 = | 836 |
| 837 | 8372 = | 700569 | √700569 = | 837 |
| 838 | 8382 = | 702244 | √702244 = | 838 |
| 839 | 8392 = | 703921 | √703921 = | 839 |
| 840 | 8402 = | 705600 | √705600 = | 840 |
| 841 | 8412 = | 707281 | √707281 = | 841 |
| 842 | 8422 = | 708964 | √708964 = | 842 |
| 843 | 8432 = | 710649 | √710649 = | 843 |
| 844 | 8442 = | 712336 | √712336 = | 844 |
| 845 | 8452 = | 714025 | √714025 = | 845 |
| 846 | 8462 = | 715716 | √715716 = | 846 |
| 847 | 8472 = | 717409 | √717409 = | 847 |
| 848 | 8482 = | 719104 | √719104 = | 848 |
| 849 | 8492 = | 720801 | √720801 = | 849 |
| 850 | 8502 = | 722500 | √722500 = | 850 |
| 851 | 8512 = | 724201 | √724201 = | 851 |
| 852 | 8522 = | 725904 | √725904 = | 852 |
| 853 | 8532 = | 727609 | √727609 = | 853 |
| 854 | 8542 = | 729316 | √729316 = | 854 |
| 855 | 8552 = | 731025 | √731025 = | 855 |
| 856 | 8562 = | 732736 | √732736 = | 856 |
| 857 | 8572 = | 734449 | √734449 = | 857 |
| 858 | 8582 = | 736164 | √736164 = | 858 |
| 859 | 8592 = | 737881 | √737881 = | 859 |
| 860 | 8602 = | 739600 | √739600 = | 860 |
| 861 | 8612 = | 741321 | √741321 = | 861 |
| 862 | 8622 = | 743044 | √743044 = | 862 |
| 863 | 8632 = | 744769 | √744769 = | 863 |
| 864 | 8642 = | 746496 | √746496 = | 864 |
| 865 | 8652 = | 748225 | √748225 = | 865 |
| 866 | 8662 = | 749956 | √749956 = | 866 |
| 867 | 8672 = | 751689 | √751689 = | 867 |
| 868 | 8682 = | 753424 | √753424 = | 868 |
| 869 | 8692 = | 755161 | √755161 = | 869 |
| 870 | 8702 = | 756900 | √756900 = | 870 |
| 871 | 8712 = | 758641 | √758641 = | 871 |
| 872 | 8722 = | 760384 | √760384 = | 872 |
| 873 | 8732 = | 762129 | √762129 = | 873 |
| 874 | 8742 = | 763876 | √763876 = | 874 |
| 875 | 8752 = | 765625 | √765625 = | 875 |
| 876 | 8762 = | 767376 | √767376 = | 876 |
| 877 | 8772 = | 769129 | √769129 = | 877 |
| 878 | 8782 = | 770884 | √770884 = | 878 |
| 879 | 8792 = | 772641 | √772641 = | 879 |
| 880 | 8802 = | 774400 | √774400 = | 880 |
| 881 | 8812 = | 776161 | √776161 = | 881 |
| 882 | 8822 = | 777924 | √777924 = | 882 |
| 883 | 8832 = | 779689 | √779689 = | 883 |
| 884 | 8842 = | 781456 | √781456 = | 884 |
| 885 | 8852 = | 783225 | √783225 = | 885 |
| 886 | 8862 = | 784996 | √784996 = | 886 |
| 887 | 8872 = | 786769 | √786769 = | 887 |
| 888 | 8882 = | 788544 | √788544 = | 888 |
| 889 | 8892 = | 790321 | √790321 = | 889 |
| 890 | 8902 = | 792100 | √792100 = | 890 |
| 891 | 8912 = | 793881 | √793881 = | 891 |
| 892 | 8922 = | 795664 | √795664 = | 892 |
| 893 | 8932 = | 797449 | √797449 = | 893 |
| 894 | 8942 = | 799236 | √799236 = | 894 |
| 895 | 8952 = | 801025 | √801025 = | 895 |
| 896 | 8962 = | 802816 | √802816 = | 896 |
| 897 | 8972 = | 804609 | √804609 = | 897 |
| 898 | 8982 = | 806404 | √806404 = | 898 |
| 899 | 8992 = | 808201 | √808201 = | 899 |
| 900 | 9002 = | 810000 | √810000 = | 900 |
| 901 | 9012 = | 811801 | √811801 = | 901 |
| 902 | 9022 = | 813604 | √813604 = | 902 |
| 903 | 9032 = | 815409 | √815409 = | 903 |
| 904 | 9042 = | 817216 | √817216 = | 904 |
| 905 | 9052 = | 819025 | √819025 = | 905 |
| 906 | 9062 = | 820836 | √820836 = | 906 |
| 907 | 9072 = | 822649 | √822649 = | 907 |
| 908 | 9082 = | 824464 | √824464 = | 908 |
| 909 | 9092 = | 826281 | √826281 = | 909 |
| 910 | 9102 = | 828100 | √828100 = | 910 |
| 911 | 9112 = | 829921 | √829921 = | 911 |
| 912 | 9122 = | 831744 | √831744 = | 912 |
| 913 | 9132 = | 833569 | √833569 = | 913 |
| 914 | 9142 = | 835396 | √835396 = | 914 |
| 915 | 9152 = | 837225 | √837225 = | 915 |
| 916 | 9162 = | 839056 | √839056 = | 916 |
| 917 | 9172 = | 840889 | √840889 = | 917 |
| 918 | 9182 = | 842724 | √842724 = | 918 |
| 919 | 9192 = | 844561 | √844561 = | 919 |
| 920 | 9202 = | 846400 | √846400 = | 920 |
| 921 | 9212 = | 848241 | √848241 = | 921 |
| 922 | 9222 = | 850084 | √850084 = | 922 |
| 923 | 9232 = | 851929 | √851929 = | 923 |
| 924 | 9242 = | 853776 | √853776 = | 924 |
| 925 | 9252 = | 855625 | √855625 = | 925 |
| 926 | 9262 = | 857476 | √857476 = | 926 |
| 927 | 9272 = | 859329 | √859329 = | 927 |
| 928 | 9282 = | 861184 | √861184 = | 928 |
| 929 | 9292 = | 863041 | √863041 = | 929 |
| 930 | 9302 = | 864900 | √864900 = | 930 |
| 931 | 9312 = | 866761 | √866761 = | 931 |
| 932 | 9322 = | 868624 | √868624 = | 932 |
| 933 | 9332 = | 870489 | √870489 = | 933 |
| 934 | 9342 = | 872356 | √872356 = | 934 |
| 935 | 9352 = | 874225 | √874225 = | 935 |
| 936 | 9362 = | 876096 | √876096 = | 936 |
| 937 | 9372 = | 877969 | √877969 = | 937 |
| 938 | 9382 = | 879844 | √879844 = | 938 |
| 939 | 9392 = | 881721 | √881721 = | 939 |
| 940 | 9402 = | 883600 | √883600 = | 940 |
| 941 | 9412 = | 885481 | √885481 = | 941 |
| 942 | 9422 = | 887364 | √887364 = | 942 |
| 943 | 9432 = | 889249 | √889249 = | 943 |
| 944 | 9442 = | 891136 | √891136 = | 944 |
| 945 | 9452 = | 893025 | √893025 = | 945 |
| 946 | 9462 = | 894916 | √894916 = | 946 |
| 947 | 9472 = | 896809 | √896809 = | 947 |
| 948 | 9482 = | 898704 | √898704 = | 948 |
| 949 | 9492 = | 900601 | √900601 = | 949 |
| 950 | 9502 = | 902500 | √902500 = | 950 |
| 951 | 9512 = | 904401 | √904401 = | 951 |
| 952 | 9522 = | 906304 | √906304 = | 952 |
| 953 | 9532 = | 908209 | √908209 = | 953 |
| 954 | 9542 = | 910116 | √910116 = | 954 |
| 955 | 9552 = | 912025 | √912025 = | 955 |
| 956 | 9562 = | 913936 | √913936 = | 956 |
| 957 | 9572 = | 915849 | √915849 = | 957 |
| 958 | 9582 = | 917764 | √917764 = | 958 |
| 959 | 9592 = | 919681 | √919681 = | 959 |
| 960 | 9602 = | 921600 | √921600 = | 960 |
| 961 | 9612 = | 923521 | √923521 = | 961 |
| 962 | 9622 = | 925444 | √925444 = | 962 |
| 963 | 9632 = | 927369 | √927369 = | 963 |
| 964 | 9642 = | 929296 | √929296 = | 964 |
| 965 | 9652 = | 931225 | √931225 = | 965 |
| 966 | 9662 = | 933156 | √933156 = | 966 |
| 967 | 9672 = | 935089 | √935089 = | 967 |
| 968 | 9682 = | 937024 | √937024 = | 968 |
| 969 | 9692 = | 938961 | √938961 = | 969 |
| 970 | 9702 = | 940900 | √940900 = | 970 |
| 971 | 9712 = | 942841 | √942841 = | 971 |
| 972 | 9722 = | 944784 | √944784 = | 972 |
| 973 | 9732 = | 946729 | √946729 = | 973 |
| 974 | 9742 = | 948676 | √948676 = | 974 |
| 975 | 9752 = | 950625 | √950625 = | 975 |
| 976 | 9762 = | 952576 | √952576 = | 976 |
| 977 | 9772 = | 954529 | √954529 = | 977 |
| 978 | 9782 = | 956484 | √956484 = | 978 |
| 979 | 9792 = | 958441 | √958441 = | 979 |
| 980 | 9802 = | 960400 | √960400 = | 980 |
| 981 | 9812 = | 962361 | √962361 = | 981 |
| 982 | 9822 = | 964324 | √964324 = | 982 |
| 983 | 9832 = | 966289 | √966289 = | 983 |
| 984 | 9842 = | 968256 | √968256 = | 984 |
| 985 | 9852 = | 970225 | √970225 = | 985 |
| 986 | 9862 = | 972196 | √972196 = | 986 |
| 987 | 9872 = | 974169 | √974169 = | 987 |
| 988 | 9882 = | 976144 | √976144 = | 988 |
| 989 | 9892 = | 978121 | √978121 = | 989 |
| 990 | 9902 = | 980100 | √980100 = | 990 |
| 991 | 9912 = | 982081 | √982081 = | 991 |
| 992 | 9922 = | 984064 | √984064 = | 992 |
| 993 | 9932 = | 986049 | √986049 = | 993 |
| 994 | 9942 = | 988036 | √988036 = | 994 |
| 995 | 9952 = | 990025 | √990025 = | 995 |
| 996 | 9962 = | 992016 | √992016 = | 996 |
| 997 | 9972 = | 994009 | √994009 = | 997 |
| 998 | 9982 = | 996004 | √996004 = | 998 |
| 999 | 9992 = | 998001 | √998001 = | 999 |
| 1000 | 10002 = | 1000000 | √1000000 = | 1000 |
Practice perfect squares and square roots using examples
Still here and interested in perfect squares? You must really love yourself some math!
Take a look at the random calculations in the sidebar on the right hand side of this page and click through to some of the square root calculations.
How many of them are perfect squares? You can also try to think of and calculate some perfect squares yourself without looking at the list above to test yourself.
Calculate a square root problem
If you have an example you want to try and see if it is a perfect square, enter it in the form below and click calculate to find out if it is.
Enter a number in the box below and then click the Calculate button to find the square root of the number.