√821 = 28.6530975638. 821 is not a perfect square; the result is irrational.

Is 821 a perfect square?

No, 821 is not a perfect square. Its square root is irrational.

What is 28.6530975638 squared?

28.6530975638 squared is approximately 821. (28.6530975638)² ≈ 821

Instant answer with step-by-step solution

√821 = 28.6530975638

√821 = 28.6530975638

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

We need to find √821 — a number that when multiplied by itself equals 821.
821 is not a perfect square. Its square root is irrational.
It falls between √784 = 28 and √841 = 29.
Using the formula √N = N^(1/2): √821 = 821^0.5 = 28.6530975638
Verification: 28.6530975638 × 28.6530975638 ≈ 821 ✓ (rounded to 10 significant figures)

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