√84 ≈ 9.1652
√84 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 | 9.2 |
| 2 | 9.17 |
| 3 | 9.165 |
| 4 | 9.1652 |
| 5 | 9.16515 |
| 10 (digits) | 9.1651513899 |
84 = 4 × 21 and √4 = 2, so √84 = 2√21.
9.1652 × 9.1652 ≈ 84.0009, which is very close to 84.
Need another number? Use the square root calculator (also cube roots and other roots).
| Number | Square root |
|---|---|
| 80 | 8.9443 |
| 81 | 9 |
| 82 | 9.0554 |
| 83 | 9.1104 |
| 85 | 9.2195 |
| 86 | 9.2736 |
| 87 | 9.3274 |
| 88 | 9.3808 |