What is the Square Root of 421?

Instant answer with step-by-step solution

√421 = 20.5182845287
√421 = 20.5182845287
⚠ 421 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √421 — a number that when multiplied by itself equals 421.
  2. 421 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): √421 = 421^0.5 = 20.5182845287
  5. Verification: 20.5182845287 × 20.5182845287 ≈ 421 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 421421 square root√420 = 20.4939015319√422 = 20.5426385842√419 = 20.4694894905√423 = 20.5669638012√424 = 20.591260282√418 = 20.4450483003

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots