√72 ≈ 8.4853
√72 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 | 8.5 |
| 2 | 8.49 |
| 3 | 8.485 |
| 4 | 8.4853 |
| 5 | 8.48528 |
| 10 (digits) | 8.4852813742 |
72 = 36 × 2 and √36 = 6, so √72 = 6√2.
8.4853 × 8.4853 ≈ 72.0003, which is very close to 72.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 68 | 8.2462 |
| 69 | 8.3066 |
| 70 | 8.3666 |
| 71 | 8.4261 |
| 73 | 8.5440 |
| 74 | 8.6023 |
| 75 | 8.6603 |
| 76 | 8.7178 |