√65 ≈ 8.0623
√65 is an irrational number, so its decimals never end or repeat. It sits between 8 and 9 because 8² = 64 and 9² = 81.
| Decimal places | Value |
|---|---|
| 0 | 8 |
| 1 | 8.1 |
| 2 | 8.06 |
| 3 | 8.062 |
| 4 | 8.0623 |
| 5 | 8.06226 |
| 10 (digits) | 8.0622577483 |
65 has no perfect-square factor other than 1, so √65 is already in simplest radical form.
8.0623 × 8.0623 ≈ 65.0007, which is very close to 65.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 61 | 7.8102 |
| 62 | 7.8740 |
| 63 | 7.9373 |
| 64 | 8 |
| 66 | 8.1240 |
| 67 | 8.1854 |
| 68 | 8.2462 |
| 69 | 8.3066 |