What is the Square Root of 424?

Instant answer with step-by-step solution

√424 = 20.591260282
√424 = 20.591260282
⚠ 424 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √424 — a number that when multiplied by itself equals 424.
  2. 424 is not a perfect square. Its square root is irrational.
  3. It falls between √400 = 20 and √441 = 21.
  4. Using the formula √N = N^(1/2): √424 = 424^0.5 = 20.591260282
  5. Verification: 20.591260282 × 20.591260282 ≈ 424 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 424424 square root√423 = 20.5669638012√425 = 20.6155281281√422 = 20.5426385842√426 = 20.6397674406√427 = 20.6639783198√421 = 20.5182845287

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots