√33 ≈ 5.7446
√33 is an irrational number, so its decimals never end or repeat. It sits between 5 and 6 because 5² = 25 and 6² = 36.
| Decimal places | Value |
|---|---|
| 0 | 6 |
| 1 | 5.7 |
| 2 | 5.74 |
| 3 | 5.745 |
| 4 | 5.7446 |
| 5 | 5.74456 |
| 10 (digits) | 5.7445626465 |
33 has no perfect-square factor other than 1, so √33 is already in simplest radical form.
5.7446 × 5.7446 ≈ 33.0004, which is very close to 33.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 29 | 5.3852 |
| 30 | 5.4772 |
| 31 | 5.5678 |
| 32 | 5.6569 |
| 34 | 5.8310 |
| 35 | 5.9161 |
| 36 | 6 |
| 37 | 6.0828 |