√157 ≈ 12.5300
√157 is an irrational number, so its decimals never end or repeat. It sits between 12 and 13 because 12² = 144 and 13² = 169.
| Decimal places | Value |
|---|---|
| 0 | 13 |
| 1 | 12.5 |
| 2 | 12.53 |
| 3 | 12.530 |
| 4 | 12.5300 |
| 5 | 12.52996 |
| 10 (digits) | 12.5299640861 |
157 has no perfect-square factor other than 1, so √157 is already in simplest radical form.
12.5300 × 12.5300 ≈ 157.0009, which is very close to 157.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 153 | 12.3693 |
| 154 | 12.4097 |
| 155 | 12.4499 |
| 156 | 12.4900 |
| 158 | 12.5698 |
| 159 | 12.6095 |
| 160 | 12.6491 |
| 161 | 12.6886 |