Square root of 32
The square root of 32 is 5.656854 (rounded to 6 decimal places). In simplest radical form it is 4ā2.
Square root of 32
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 32 is the number that multiplied by itself gives 32.
- 2
32 is between the perfect squares 5Ā² = 25 and 6Ā² = 36, so its square root is between 5 and 6.
- 3
Pull out the biggest square factor: 32 = 16 Ć 2, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{32} = 4\sqrt{2} \approx 5.656854 \]
\[ \sqrt{32} = \sqrt{16 \times 2} = 4\sqrt{2} \]
\[ \sqrt{32} \approx 5.656854 \]Squares around 32
| Number | Squared |
|---|---|
| 4 | 16 |
| 5 | 25 |
| 6 | 36 |
| 7 | 49 |
Questions
What is the square root of 32?
The square root of 32 is 5.656854 (rounded to 6 decimal places). In simplest radical form it is 4ā2.
Is 32 a perfect square?
No. It lies between 5Ā² = 25 and 6Ā² = 36.
What is 32 squared?
32 Ć 32 = 1024.
What is the square root of 32 rounded to 2 decimals?
5.66.