√59 ≈ 7.6811
√59 is an irrational number, so its decimals never end or repeat. It sits between 7 and 8 because 7² = 49 and 8² = 64.
| Decimal places | Value |
|---|---|
| 0 | 8 |
| 1 | 7.7 |
| 2 | 7.68 |
| 3 | 7.681 |
| 4 | 7.6811 |
| 5 | 7.68115 |
| 10 (digits) | 7.6811457479 |
59 has no perfect-square factor other than 1, so √59 is already in simplest radical form.
7.6811 × 7.6811 ≈ 58.9993, which is very close to 59.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 55 | 7.4162 |
| 56 | 7.4833 |
| 57 | 7.5498 |
| 58 | 7.6158 |
| 60 | 7.7460 |
| 61 | 7.8102 |
| 62 | 7.8740 |
| 63 | 7.9373 |