√174 ≈ 13.1909
√174 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 | 13.2 |
| 2 | 13.19 |
| 3 | 13.191 |
| 4 | 13.1909 |
| 5 | 13.19091 |
| 10 (digits) | 13.1909059583 |
174 has no perfect-square factor other than 1, so √174 is already in simplest radical form.
13.1909 × 13.1909 ≈ 173.9998, which is very close to 174.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 170 | 13.0384 |
| 171 | 13.0767 |
| 172 | 13.1149 |
| 173 | 13.1529 |
| 175 | 13.2288 |
| 176 | 13.2665 |
| 177 | 13.3041 |
| 178 | 13.3417 |