Square root of 264
The square root of 264 is 16.248077 (rounded to 6 decimal places). In simplest radical form it is 2ā66.
Square root of 264
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 264 is the number that multiplied by itself gives 264.
- 2
264 is between the perfect squares 16² = 256 and 17² = 289, so its square root is between 16 and 17.
- 3
Pull out the biggest square factor: 264 = 4 Ć 66, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{264} = 2\sqrt{66} \approx 16.248077 \]
\[ \sqrt{264} = \sqrt{4 \times 66} = 2\sqrt{66} \]
\[ \sqrt{264} \approx 16.248077 \]Squares around 264
| Number | Squared |
|---|---|
| 15 | 225 |
| 16 | 256 |
| 17 | 289 |
| 18 | 324 |
Questions
What is the square root of 264?
The square root of 264 is 16.248077 (rounded to 6 decimal places). In simplest radical form it is 2ā66.
Is 264 a perfect square?
No. It lies between 16² = 256 and 17² = 289.
What is 264 squared?
264 Ć 264 = 69696.
What is the square root of 264 rounded to 2 decimals?
16.25.