√189 ≈ 13.7477
√189 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 | 14 |
| 1 | 13.7 |
| 2 | 13.75 |
| 3 | 13.748 |
| 4 | 13.7477 |
| 5 | 13.74773 |
| 10 (digits) | 13.7477270849 |
189 = 9 × 21 and √9 = 3, so √189 = 3√21.
13.7477 × 13.7477 ≈ 188.9993, which is very close to 189.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 185 | 13.6015 |
| 186 | 13.6382 |
| 187 | 13.6748 |
| 188 | 13.7113 |
| 190 | 13.7840 |
| 191 | 13.8203 |
| 192 | 13.8564 |
| 193 | 13.8924 |