√108 ≈ 10.3923
√108 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 | 10.4 |
| 2 | 10.39 |
| 3 | 10.392 |
| 4 | 10.3923 |
| 5 | 10.39230 |
| 10 (digits) | 10.3923048454 |
108 = 36 × 3 and √36 = 6, so √108 = 6√3.
10.3923 × 10.3923 ≈ 107.9999, which is very close to 108.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 104 | 10.1980 |
| 105 | 10.2470 |
| 106 | 10.2956 |
| 107 | 10.3441 |
| 109 | 10.4403 |
| 110 | 10.4881 |
| 111 | 10.5357 |
| 112 | 10.5830 |