√164 ≈ 12.8062
√164 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 | 12.8 |
| 2 | 12.81 |
| 3 | 12.806 |
| 4 | 12.8062 |
| 5 | 12.80625 |
| 10 (digits) | 12.8062484749 |
164 = 4 × 41 and √4 = 2, so √164 = 2√41.
12.8062 × 12.8062 ≈ 163.9988, which is very close to 164.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 160 | 12.6491 |
| 161 | 12.6886 |
| 162 | 12.7279 |
| 163 | 12.7671 |
| 165 | 12.8452 |
| 166 | 12.8841 |
| 167 | 12.9228 |
| 168 | 12.9615 |