What is the Square Root of 402?

Instant answer with step-by-step solution

√402 = 20.0499376558
√402 = 20.0499376558
⚠ 402 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √402 — a number that when multiplied by itself equals 402.
  2. 402 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): √402 = 402^0.5 = 20.0499376558
  5. Verification: 20.0499376558 × 20.0499376558 ≈ 402 ✓ (rounded to 10 significant figures)

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