√564 = 23.7486841741. 564 is not a perfect square; the result is irrational.

Is 564 a perfect square?

No, 564 is not a perfect square. Its square root is irrational.

What is 23.7486841741 squared?

23.7486841741 squared is approximately 564. (23.7486841741)² ≈ 564

Instant answer with step-by-step solution

√564 = 23.7486841741

√564 = 23.7486841741

⚠ 564 is not a perfect square — result rounded to 10 significant figures

We need to find √564 — a number that when multiplied by itself equals 564.
564 is not a perfect square. Its square root is irrational.
It falls between √529 = 23 and √576 = 24.
Using the formula √N = N^(1/2): √564 = 564^0.5 = 23.7486841741
Verification: 23.7486841741 × 23.7486841741 ≈ 564 ✓ (rounded to 10 significant figures)

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