√409 = 20.2237484162. 409 is not a perfect square; the result is irrational.

Is 409 a perfect square?

No, 409 is not a perfect square. Its square root is irrational.

What is 20.2237484162 squared?

20.2237484162 squared is approximately 409. (20.2237484162)² ≈ 409

Instant answer with step-by-step solution

√409 = 20.2237484162

√409 = 20.2237484162

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

We need to find √409 — a number that when multiplied by itself equals 409.
409 is not a perfect square. Its square root is irrational.
It falls between √400 = 20 and √441 = 21.
Using the formula √N = N^(1/2): √409 = 409^0.5 = 20.2237484162
Verification: 20.2237484162 × 20.2237484162 ≈ 409 ✓ (rounded to 10 significant figures)

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