What is the Square Root of 477?

Instant answer with step-by-step solution

√477 = 21.8403296678
√477 = 21.8403296678
⚠ 477 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √477 — a number that when multiplied by itself equals 477.
  2. 477 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): √477 = 477^0.5 = 21.8403296678
  5. Verification: 21.8403296678 × 21.8403296678 ≈ 477 ✓ (rounded to 10 significant figures)

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