√180 ≈ 13.4164
√180 is an irrational number, so its decimals never end or repeat. It sits between 13 and 14 because 13² = 169 and 14² = 196.
| Decimal places | Value |
|---|---|
| 0 | 13 |
| 1 | 13.4 |
| 2 | 13.42 |
| 3 | 13.416 |
| 4 | 13.4164 |
| 5 | 13.41641 |
| 10 (digits) | 13.4164078650 |
180 = 36 × 5 and √36 = 6, so √180 = 6√5.
13.4164 × 13.4164 ≈ 179.9998, which is very close to 180.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 176 | 13.2665 |
| 177 | 13.3041 |
| 178 | 13.3417 |
| 179 | 13.3791 |
| 181 | 13.4536 |
| 182 | 13.4907 |
| 183 | 13.5277 |
| 184 | 13.5647 |