√107 ≈ 10.3441
√107 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 | 10 |
| 1 | 10.3 |
| 2 | 10.34 |
| 3 | 10.344 |
| 4 | 10.3441 |
| 5 | 10.34408 |
| 10 (digits) | 10.3440804328 |
107 has no perfect-square factor other than 1, so √107 is already in simplest radical form.
10.3441 × 10.3441 ≈ 107.0004, which is very close to 107.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 103 | 10.1489 |
| 104 | 10.1980 |
| 105 | 10.2470 |
| 106 | 10.2956 |
| 108 | 10.3923 |
| 109 | 10.4403 |
| 110 | 10.4881 |
| 111 | 10.5357 |