Square Root of 493

Instant answer with step-by-step solution

√493 = 22.2036033112
√493 = 22.2036033112
⚠ 493 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √493 — a number that when multiplied by itself equals 493.
  2. 493 is not a perfect square. Its square root is irrational.
  3. It falls between √484 = 22 and √529 = 23.
  4. Using the formula √N = N^(1/2): √493 = 493^0.5 = 22.2036033112
  5. Verification: 22.2036033112 × 22.2036033112 ≈ 493 ✓ (rounded to 10 significant figures)

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