√8 ≈ 2.8284
√8 is an irrational number, so its decimals never end or repeat. It sits between 2 and 3 because 2² = 4 and 3² = 9.
| Decimal places | Value |
|---|---|
| 0 | 3 |
| 1 | 2.8 |
| 2 | 2.83 |
| 3 | 2.828 |
| 4 | 2.8284 |
| 5 | 2.82843 |
| 10 (digits) | 2.8284271247 |
8 = 4 × 2 and √4 = 2, so √8 = 2√2.
2.8284 × 2.8284 ≈ 7.9998, which is very close to 8.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 4 | 2 |
| 5 | 2.2361 |
| 6 | 2.4495 |
| 7 | 2.6458 |
| 9 | 3 |
| 10 | 3.1623 |
| 11 | 3.3166 |
| 12 | 3.4641 |