Square root of 15625 | √15625
Square Root Calculator
Here is the answer to questions like: Square root of 15625 | √15625 or what is the square root of 15625?
Use the square root calculator below to find the square root of any imaginary or real number. See also in this web page a Square Root Table from 1 to 100 as well as the Babylonian Method or Hero's Method.
The Babylonian Method also known as Hero's Method
See below how to calculate the square root of 15625 step-by-step using the Babylonian Method also known as Hero's Method.
What is square root?
Definition of square root
A square root of a number 'a' is a number x such that x2 = a, in other words, a number x whose square is a. For example, 125 is the square root of 15625 because 1252 = 125•125 = 15625, -125 is square root of 15625 because (-125)2 = (-125)•(-125) = 15625.
Square Root Table 1-100
Square roots from 1 to 100 rounded to the nearest thousandth.
| n | n2 | √ |
|---|---|---|
| 1 | 1 | 1.000 |
| 2 | 4 | 1.414 |
| 3 | 9 | 1.732 |
| 4 | 16 | 2.000 |
| 5 | 25 | 2.236 |
| 6 | 36 | 2.449 |
| 7 | 49 | 2.646 |
| 8 | 64 | 2.828 |
| 9 | 81 | 3.000 |
| 10 | 100 | 3.162 |
| 11 | 121 | 3.317 |
| 12 | 144 | 3.464 |
| 13 | 169 | 3.606 |
| 14 | 196 | 3.742 |
| 15 | 225 | 3.873 |
| 16 | 256 | 4.000 |
| 17 | 289 | 4.123 |
| 18 | 324 | 4.243 |
| 19 | 361 | 4.359 |
| 20 | 400 | 4.472 |
| 21 | 441 | 4.583 |
| 22 | 484 | 4.690 |
| 23 | 529 | 4.796 |
| 24 | 576 | 4.899 |
| 25 | 625 | 5.000 |
| n | n2 | √ |
|---|---|---|
| 26 | 676 | 5.099 |
| 27 | 729 | 5.196 |
| 28 | 784 | 5.292 |
| 29 | 841 | 5.385 |
| 30 | 900 | 5.477 |
| 31 | 961 | 5.568 |
| 32 | 1,024 | 5.657 |
| 33 | 1,089 | 5.745 |
| 34 | 1,156 | 5.831 |
| 35 | 1,225 | 5.916 |
| 36 | 1,296 | 6.000 |
| 37 | 1,369 | 6.083 |
| 38 | 1,444 | 6.164 |
| 39 | 1,521 | 6.245 |
| 40 | 1,600 | 6.325 |
| 41 | 1,681 | 6.403 |
| 42 | 1,764 | 6.481 |
| 43 | 1,849 | 6.557 |
| 44 | 1,936 | 6.633 |
| 45 | 2,025 | 6.708 |
| 46 | 2,116 | 6.782 |
| 47 | 2,209 | 6.856 |
| 48 | 2,304 | 6.928 |
| 49 | 2,401 | 7.000 |
| 50 | 2,500 | 7.071 |
| n | n2 | √ |
|---|---|---|
| 51 | 2,601 | 7.141 |
| 52 | 2,704 | 7.211 |
| 53 | 2,809 | 7.280 |
| 54 | 2,916 | 7.348 |
| 55 | 3,025 | 7.416 |
| 56 | 3,136 | 7.483 |
| 57 | 3,249 | 7.550 |
| 58 | 3,364 | 7.616 |
| 59 | 3,481 | 7.681 |
| 60 | 3,600 | 7.746 |
| 61 | 3,721 | 7.810 |
| 62 | 3,844 | 7.874 |
| 63 | 3,969 | 7.937 |
| 64 | 4,096 | 8.000 |
| 65 | 4,225 | 8.062 |
| 66 | 4,356 | 8.124 |
| 67 | 4,489 | 8.185 |
| 68 | 4,624 | 8.246 |
| 69 | 4,761 | 8.307 |
| 70 | 4,900 | 8.367 |
| 71 | 5,041 | 8.426 |
| 72 | 5,184 | 8.485 |
| 73 | 5,329 | 8.544 |
| 74 | 5,476 | 8.602 |
| 75 | 5,625 | 8.660 |
| n | n2 | √ |
|---|---|---|
| 76 | 5,776 | 8.718 |
| 77 | 5,929 | 8.775 |
| 78 | 6,084 | 8.832 |
| 79 | 6,241 | 8.888 |
| 80 | 6,400 | 8.944 |
| 81 | 6,561 | 9.000 |
| 82 | 6,724 | 9.055 |
| 83 | 6,889 | 9.110 |
| 84 | 7,056 | 9.165 |
| 85 | 7,225 | 9.220 |
| 86 | 7,396 | 9.274 |
| 87 | 7,569 | 9.327 |
| 88 | 7,744 | 9.381 |
| 89 | 7,921 | 9.434 |
| 90 | 8,100 | 9.487 |
| 91 | 8,281 | 9.539 |
| 92 | 8,464 | 9.592 |
| 93 | 8,649 | 9.644 |
| 94 | 8,836 | 9.695 |
| 95 | 9,025 | 9.747 |
| 96 | 9,216 | 9.798 |
| 97 | 9,409 | 9.849 |
| 98 | 9,604 | 9.899 |
| 99 | 9,801 | 9.950 |
| 100 | 10,000 | 10.000 |