√53 ≈ 7.2801
√53 is an irrational number, so its decimals never end or repeat. It sits between 7 and 8 because 7² = 49 and 8² = 64.
| Decimal places | Value |
|---|---|
| 0 | 7 |
| 1 | 7.3 |
| 2 | 7.28 |
| 3 | 7.280 |
| 4 | 7.2801 |
| 5 | 7.28011 |
| 10 (digits) | 7.2801098893 |
53 has no perfect-square factor other than 1, so √53 is already in simplest radical form.
7.2801 × 7.2801 ≈ 52.9999, which is very close to 53.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 49 | 7 |
| 50 | 7.0711 |
| 51 | 7.1414 |
| 52 | 7.2111 |
| 54 | 7.3485 |
| 55 | 7.4162 |
| 56 | 7.4833 |
| 57 | 7.5498 |