Square Root Calculator › Square root of 564
Square Root of 564
√564 ≈ 23.748684
564 is not a perfect square, so √564 is an irrational number that is approximately 23.748684. In simplified radical form, √564 = 2√141.
√564 lies between √529 = 23 and √576 = 24.
| Number | 564 |
| Square root (decimal) | 23.748684 |
| Simplified radical | 2√141 |
| Perfect square? | No |
| Rational? | No |
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Frequently asked questions
Is 564 a perfect square?
No, 564 is not a perfect square, so its square root is irrational and approximately 23.748684.
What is the square root of 564 in simplest radical form?
√564 = 2√141 in simplest radical form.