√126 ≈ 11.2250
√126 is an irrational number, so its decimals never end or repeat. It sits between 11 and 12 because 11² = 121 and 12² = 144.
| Decimal places | Value |
|---|---|
| 0 | 11 |
| 1 | 11.2 |
| 2 | 11.22 |
| 3 | 11.225 |
| 4 | 11.2250 |
| 5 | 11.22497 |
| 10 (digits) | 11.2249721603 |
126 = 9 × 14 and √9 = 3, so √126 = 3√14.
11.2250 × 11.2250 ≈ 126.0006, which is very close to 126.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 122 | 11.0454 |
| 123 | 11.0905 |
| 124 | 11.1355 |
| 125 | 11.1803 |
| 127 | 11.2694 |
| 128 | 11.3137 |
| 129 | 11.3578 |
| 130 | 11.4018 |