Square Root of 458

Instant answer with step-by-step solution

√458 = 21.400934559
√458 = 21.400934559
⚠ 458 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √458 — a number that when multiplied by itself equals 458.
  2. 458 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): √458 = 458^0.5 = 21.400934559
  5. Verification: 21.400934559 × 21.400934559 ≈ 458 ✓ (rounded to 10 significant figures)

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