Square root of 8
The square root of 8 is 2.828427 (rounded to 6 decimal places). In simplest radical form it is 2ā2.
Square root of 8
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 8 is the number that multiplied by itself gives 8.
- 2
8 is between the perfect squares 2Ā² = 4 and 3Ā² = 9, so its square root is between 2 and 3.
- 3
Pull out the biggest square factor: 8 = 4 Ć 2, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{8} = 2\sqrt{2} \approx 2.828427 \]
\[ \sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2} \]
\[ \sqrt{8} \approx 2.828427 \]Squares around 8
| Number | Squared |
|---|---|
| 1 | 1 |
| 2 | 4 |
| 3 | 9 |
| 4 | 16 |
Questions
What is the square root of 8?
The square root of 8 is 2.828427 (rounded to 6 decimal places). In simplest radical form it is 2ā2.
Is 8 a perfect square?
No. It lies between 2Ā² = 4 and 3Ā² = 9.
What is 8 squared?
8 Ć 8 = 64.
What is the square root of 8 rounded to 2 decimals?
2.83.