√37 ≈ 6.0828
√37 is an irrational number, so its decimals never end or repeat. It sits between 6 and 7 because 6² = 36 and 7² = 49.
| Decimal places | Value |
|---|---|
| 0 | 6 |
| 1 | 6.1 |
| 2 | 6.08 |
| 3 | 6.083 |
| 4 | 6.0828 |
| 5 | 6.08276 |
| 10 (digits) | 6.0827625303 |
37 has no perfect-square factor other than 1, so √37 is already in simplest radical form.
6.0828 × 6.0828 ≈ 37.0005, which is very close to 37.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 33 | 5.7446 |
| 34 | 5.8310 |
| 35 | 5.9161 |
| 36 | 6 |
| 38 | 6.1644 |
| 39 | 6.2450 |
| 40 | 6.3246 |
| 41 | 6.4031 |