What is the Square Root of 466?

Instant answer with step-by-step solution

√466 = 21.5870331449
√466 = 21.5870331449
⚠ 466 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √466 — a number that when multiplied by itself equals 466.
  2. 466 is not a perfect square. Its square root is irrational.
  3. It falls between √441 = 21 and √484 = 22.
  4. Using the formula √N = N^(1/2): √466 = 466^0.5 = 21.5870331449
  5. Verification: 21.5870331449 × 21.5870331449 ≈ 466 ✓ (rounded to 10 significant figures)

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