√153 ≈ 12.3693
√153 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 | 12 |
| 1 | 12.4 |
| 2 | 12.37 |
| 3 | 12.369 |
| 4 | 12.3693 |
| 5 | 12.36932 |
| 10 (digits) | 12.3693168769 |
153 = 9 × 17 and √9 = 3, so √153 = 3√17.
12.3693 × 12.3693 ≈ 152.9996, which is very close to 153.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 149 | 12.2066 |
| 150 | 12.2474 |
| 151 | 12.2882 |
| 152 | 12.3288 |
| 154 | 12.4097 |
| 155 | 12.4499 |
| 156 | 12.4900 |
| 157 | 12.5300 |