√113 ≈ 10.6301
√113 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 | 10.6 |
| 2 | 10.63 |
| 3 | 10.630 |
| 4 | 10.6301 |
| 5 | 10.63015 |
| 10 (digits) | 10.6301458127 |
113 has no perfect-square factor other than 1, so √113 is already in simplest radical form.
10.6301 × 10.6301 ≈ 112.9990, which is very close to 113.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 109 | 10.4403 |
| 110 | 10.4881 |
| 111 | 10.5357 |
| 112 | 10.5830 |
| 114 | 10.6771 |
| 115 | 10.7238 |
| 116 | 10.7703 |
| 117 | 10.8167 |