√ 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 |