√71 ≈ 8.4261
√71 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 | 8.4 |
| 2 | 8.43 |
| 3 | 8.426 |
| 4 | 8.4261 |
| 5 | 8.42615 |
| 10 (digits) | 8.4261497732 |
71 has no perfect-square factor other than 1, so √71 is already in simplest radical form.
8.4261 × 8.4261 ≈ 70.9992, which is very close to 71.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 67 | 8.1854 |
| 68 | 8.2462 |
| 69 | 8.3066 |
| 70 | 8.3666 |
| 72 | 8.4853 |
| 73 | 8.5440 |
| 74 | 8.6023 |
| 75 | 8.6603 |