√46 ≈ 6.7823
√46 is an irrational number, so its decimals never end or repeat. It sits between 6 and 7 because 6² = 36 and 7² = 49.
| Decimal places | Value |
|---|---|
| 0 | 7 |
| 1 | 6.8 |
| 2 | 6.78 |
| 3 | 6.782 |
| 4 | 6.7823 |
| 5 | 6.78233 |
| 10 (digits) | 6.7823299831 |
46 has no perfect-square factor other than 1, so √46 is already in simplest radical form.
6.7823 × 6.7823 ≈ 45.9996, which is very close to 46.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 42 | 6.4807 |
| 43 | 6.5574 |
| 44 | 6.6332 |
| 45 | 6.7082 |
| 47 | 6.8557 |
| 48 | 6.9282 |
| 49 | 7 |
| 50 | 7.0711 |