The square root of 8 is 2.82842712 (rounded to 8 decimal places).
The square root of 8 is 2.82842712 (rounded to 8 decimal places).
It is not a perfect square, so the root is irrational. In simplest radical form, √8 = 2√2, because 8 = 4 × 2.
8 lies between the perfect squares 4 (2²) and 9 (3²), so √8 is between 2 and 3. Our answer 2.82842712 fits that range.
You can check it by squaring the result: 2.82842712² ≈ 8.
| √8 | = 2.82842712 |
| 2.82842712² | = 8 |
| ∛8 | = 2 |
| Number | Square root | Note |
|---|---|---|
| 4 | 2 | perfect square |
| 5 | 2.236068 | |
| 6 | 2.44949 | |
| 7 | 2.645751 | |
| 8 | 2.828427 | this page |
| 9 | 3 | perfect square |
| 10 | 3.162278 | |
| 11 | 3.316625 |
The square root of 8 is 2.82842712 (rounded to 8 decimal places).
No. The nearest perfect squares are 4 and 9.
Irrational. Its decimal never ends or repeats.
The cube root of 8 is about 2.
Yes. Use the calculator on this page, or open the full free Scientific Calculator with memory, history and keyboard support.