√112 ≈ 10.5830
√112 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 | 10.58 |
| 3 | 10.583 |
| 4 | 10.5830 |
| 5 | 10.58301 |
| 10 (digits) | 10.5830052443 |
112 = 16 × 7 and √16 = 4, so √112 = 4√7.
10.5830 × 10.5830 ≈ 111.9999, which is very close to 112.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 108 | 10.3923 |
| 109 | 10.4403 |
| 110 | 10.4881 |
| 111 | 10.5357 |
| 113 | 10.6301 |
| 114 | 10.6771 |
| 115 | 10.7238 |
| 116 | 10.7703 |