√60 ≈ 7.7460
√60 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 | 7.75 |
| 3 | 7.746 |
| 4 | 7.7460 |
| 5 | 7.74597 |
| 10 (digits) | 7.7459666924 |
60 = 4 × 15 and √4 = 2, so √60 = 2√15.
7.7460 × 7.7460 ≈ 60.0005, which is very close to 60.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 56 | 7.4833 |
| 57 | 7.5498 |
| 58 | 7.6158 |
| 59 | 7.6811 |
| 61 | 7.8102 |
| 62 | 7.8740 |
| 63 | 7.9373 |
| 64 | 8 |