√168 ≈ 12.9615
√168 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 | 13.0 |
| 2 | 12.96 |
| 3 | 12.961 |
| 4 | 12.9615 |
| 5 | 12.96148 |
| 10 (digits) | 12.9614813968 |
168 = 4 × 42 and √4 = 2, so √168 = 2√42.
12.9615 × 12.9615 ≈ 168.0005, which is very close to 168.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 164 | 12.8062 |
| 165 | 12.8452 |
| 166 | 12.8841 |
| 167 | 12.9228 |
| 169 | 13 |
| 170 | 13.0384 |
| 171 | 13.0767 |
| 172 | 13.1149 |