What is the Square Root of 423?

Instant answer with step-by-step solution

√423 = 20.5669638012
√423 = 20.5669638012
⚠ 423 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √423 — a number that when multiplied by itself equals 423.
  2. 423 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): √423 = 423^0.5 = 20.5669638012
  5. Verification: 20.5669638012 × 20.5669638012 ≈ 423 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 423423 square root√422 = 20.5426385842√424 = 20.591260282√421 = 20.5182845287√425 = 20.6155281281√426 = 20.6397674406√420 = 20.4939015319

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots