Square root of 564
The square root of 564 is 23.748684 (rounded to 6 decimal places). In simplest radical form it is 2ā141.
Square root of 564
Pick any whole number from 1 to 10,000.
How to work it out
- 1
The square root of 564 is the number that multiplied by itself gives 564.
- 2
564 is between the perfect squares 23Ā² = 529 and 24Ā² = 576, so its square root is between 23 and 24.
- 3
Pull out the biggest square factor: 564 = 4 Ć 141, so
- 4
A calculator, or long division of digits, gives
LaTeX source of the formulas on this page
\[ \sqrt{564} = 2\sqrt{141} \approx 23.748684 \]
\[ \sqrt{564} = \sqrt{4 \times 141} = 2\sqrt{141} \]
\[ \sqrt{564} \approx 23.748684 \]Squares around 564
| Number | Squared |
|---|---|
| 22 | 484 |
| 23 | 529 |
| 24 | 576 |
| 25 | 625 |
Questions
What is the square root of 564?
The square root of 564 is 23.748684 (rounded to 6 decimal places). In simplest radical form it is 2ā141.
Is 564 a perfect square?
No. It lies between 23Ā² = 529 and 24Ā² = 576.
What is 564 squared?
564 Ć 564 = 318096.
What is the square root of 564 rounded to 2 decimals?
23.75.