√83 ≈ 9.1104
√83 is an irrational number, so its decimals never end or repeat. It sits between 9 and 10 because 9² = 81 and 10² = 100.
| Decimal places | Value |
|---|---|
| 0 | 9 |
| 1 | 9.1 |
| 2 | 9.11 |
| 3 | 9.110 |
| 4 | 9.1104 |
| 5 | 9.11043 |
| 10 (digits) | 9.1104335791 |
83 has no perfect-square factor other than 1, so √83 is already in simplest radical form.
9.1104 × 9.1104 ≈ 82.9994, which is very close to 83.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 79 | 8.8882 |
| 80 | 8.9443 |
| 81 | 9 |
| 82 | 9.0554 |
| 84 | 9.1652 |
| 85 | 9.2195 |
| 86 | 9.2736 |
| 87 | 9.3274 |