√117 ≈ 10.8167
√117 is an irrational number, so its decimals never end or repeat. It sits between 10 and 11 because 10² = 100 and 11² = 121.
| Decimal places | Value |
|---|---|
| 0 | 11 |
| 1 | 10.8 |
| 2 | 10.82 |
| 3 | 10.817 |
| 4 | 10.8167 |
| 5 | 10.81665 |
| 10 (digits) | 10.8166538264 |
117 = 9 × 13 and √9 = 3, so √117 = 3√13.
10.8167 × 10.8167 ≈ 117.0010, which is very close to 117.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 113 | 10.6301 |
| 114 | 10.6771 |
| 115 | 10.7238 |
| 116 | 10.7703 |
| 118 | 10.8628 |
| 119 | 10.9087 |
| 120 | 10.9545 |
| 121 | 11 |