√10 ≈ 3.1623
√10 is an irrational number, so its decimals never end or repeat. It sits between 3 and 4 because 3² = 9 and 4² = 16.
| Decimal places | Value |
|---|---|
| 0 | 3 |
| 1 | 3.2 |
| 2 | 3.16 |
| 3 | 3.162 |
| 4 | 3.1623 |
| 5 | 3.16228 |
| 10 (digits) | 3.1622776602 |
10 has no perfect-square factor other than 1, so √10 is already in simplest radical form.
3.1623 × 3.1623 ≈ 10.0001, which is very close to 10.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 6 | 2.4495 |
| 7 | 2.6458 |
| 8 | 2.8284 |
| 9 | 3 |
| 11 | 3.3166 |
| 12 | 3.4641 |
| 13 | 3.6056 |
| 14 | 3.7417 |