√103 ≈ 10.1489
√103 is an irrational number, so its decimals never end or repeat. It sits between 10 and 11 because 10² = 100 and 11² = 121.
| Decimal places | Value |
|---|---|
| 0 | 10 |
| 1 | 10.1 |
| 2 | 10.15 |
| 3 | 10.149 |
| 4 | 10.1489 |
| 5 | 10.14889 |
| 10 (digits) | 10.1488915651 |
103 has no perfect-square factor other than 1, so √103 is already in simplest radical form.
10.1489 × 10.1489 ≈ 103.0002, which is very close to 103.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 99 | 9.9499 |
| 100 | 10 |
| 101 | 10.0499 |
| 102 | 10.0995 |
| 104 | 10.1980 |
| 105 | 10.2470 |
| 106 | 10.2956 |
| 107 | 10.3441 |