Square Root of 456

Instant answer with step-by-step solution

√456 = 21.3541565041
√456 = 21.3541565041
⚠ 456 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √456 — a number that when multiplied by itself equals 456.
  2. 456 is not a perfect square. Its square root is irrational.
  3. It falls between √441 = 21 and √484 = 22.
  4. Using the formula √N = N^(1/2): √456 = 456^0.5 = 21.3541565041
  5. Verification: 21.3541565041 × 21.3541565041 ≈ 456 ✓ (rounded to 10 significant figures)

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