What is the Square Root of 428?

Instant answer with step-by-step solution

√428 = 20.6881608656
√428 = 20.6881608656
⚠ 428 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √428 — a number that when multiplied by itself equals 428.
  2. 428 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): √428 = 428^0.5 = 20.6881608656
  5. Verification: 20.6881608656 × 20.6881608656 ≈ 428 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 428428 square root√427 = 20.6639783198√429 = 20.7123151772√426 = 20.6397674406√430 = 20.7364413533√431 = 20.760539492√425 = 20.6155281281

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots