√68 ≈ 8.2462
√68 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 | 8.2 |
| 2 | 8.25 |
| 3 | 8.246 |
| 4 | 8.2462 |
| 5 | 8.24621 |
| 10 (digits) | 8.2462112512 |
68 = 4 × 17 and √4 = 2, so √68 = 2√17.
8.2462 × 8.2462 ≈ 67.9998, which is very close to 68.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 64 | 8 |
| 65 | 8.0623 |
| 66 | 8.1240 |
| 67 | 8.1854 |
| 69 | 8.3066 |
| 70 | 8.3666 |
| 71 | 8.4261 |
| 72 | 8.4853 |