√5 ≈ 2.2361
√5 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 | 2 |
| 1 | 2.2 |
| 2 | 2.24 |
| 3 | 2.236 |
| 4 | 2.2361 |
| 5 | 2.23607 |
| 10 (digits) | 2.2360679775 |
5 has no perfect-square factor other than 1, so √5 is already in simplest radical form.
2.2361 × 2.2361 ≈ 5.0001, which is very close to 5.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 1 | 1 |
| 2 | 1.4142 |
| 3 | 1.7321 |
| 4 | 2 |
| 6 | 2.4495 |
| 7 | 2.6458 |
| 8 | 2.8284 |
| 9 | 3 |