√13 ≈ 3.6056
√13 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 | 4 |
| 1 | 3.6 |
| 2 | 3.61 |
| 3 | 3.606 |
| 4 | 3.6056 |
| 5 | 3.60555 |
| 10 (digits) | 3.6055512755 |
13 has no perfect-square factor other than 1, so √13 is already in simplest radical form.
3.6056 × 3.6056 ≈ 13.0004, which is very close to 13.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 9 | 3 |
| 10 | 3.1623 |
| 11 | 3.3166 |
| 12 | 3.4641 |
| 14 | 3.7417 |
| 15 | 3.8730 |
| 16 | 4 |
| 17 | 4.1231 |