How to find and simplify a square root
- Enter the number.
- Leave Root at 2 for a square root, or change it for a cube root (3) or any other.
- Read the root and, for whole numbers, its simplified radical form.
Square roots of 1 to 20
| n | √n | n | √n |
|---|---|---|---|
| 1 | 1 | 11 | 3.3166 |
| 2 | 1.4142 | 12 | 3.4641 (2√3) |
| 3 | 1.7321 | 13 | 3.6056 |
| 4 | 2 | 14 | 3.7417 |
| 5 | 2.2361 | 15 | 3.8730 |
| 6 | 2.4495 | 16 | 4 |
| 7 | 2.6458 | 17 | 4.1231 |
| 8 | 2.8284 (2√2) | 18 | 4.2426 (3√2) |
| 9 | 3 | 19 | 4.3589 |
| 10 | 3.1623 | 20 | 4.4721 (2√5) |
Estimating a square root
Find the perfect squares on either side. √50 is between √49 = 7 and √64 = 8, and much closer to 7, so it is a little over 7 (7.07). That quick check catches typing mistakes in any calculation.