√199 ≈ 14.1067
√199 is an irrational number, so its decimals never end or repeat. It sits between 14 and 15 because 14² = 196 and 15² = 225.
| Decimal places | Value |
|---|---|
| 0 | 14 |
| 1 | 14.1 |
| 2 | 14.11 |
| 3 | 14.107 |
| 4 | 14.1067 |
| 5 | 14.10674 |
| 10 (digits) | 14.1067359797 |
199 has no perfect-square factor other than 1, so √199 is already in simplest radical form.
14.1067 × 14.1067 ≈ 198.9990, which is very close to 199.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 195 | 13.9642 |
| 196 | 14 |
| 197 | 14.0357 |
| 198 | 14.0712 |
| 200 | 14.1421 |
| 225 | 15 |
| 250 | 15.8114 |
| 256 | 16 |