What is the Square Root of 489?

Instant answer with step-by-step solution

√489 = 22.1133443875
√489 = 22.1133443875
⚠ 489 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √489 — a number that when multiplied by itself equals 489.
  2. 489 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): √489 = 489^0.5 = 22.1133443875
  5. Verification: 22.1133443875 × 22.1133443875 ≈ 489 ✓ (rounded to 10 significant figures)

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