√513 = 22.6495033058. 513 is not a perfect square; the result is irrational.

Is 513 a perfect square?

No, 513 is not a perfect square. Its square root is irrational.

What is 22.6495033058 squared?

22.6495033058 squared is approximately 513. (22.6495033058)² ≈ 513

Instant answer with step-by-step solution

√513 = 22.6495033058

√513 = 22.6495033058

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

We need to find √513 — a number that when multiplied by itself equals 513.
513 is not a perfect square. Its square root is irrational.
It falls between √484 = 22 and √529 = 23.
Using the formula √N = N^(1/2): √513 = 513^0.5 = 22.6495033058
Verification: 22.6495033058 × 22.6495033058 ≈ 513 ✓ (rounded to 10 significant figures)

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