√ Square Root Calculator
Square Root Calculator
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 8 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, 2 is the square root of 4 because 22 = 2•2 = 4, -2 is square root of 4 because (-2)2 = (-2)•(-2) = 4.
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 |
Disclaimer
While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions. Therefore, the contents of this site are not suitable for any use involving risk to health, finances or property.