Square Root of 125

Instant answer with step-by-step solution

√125 = 11.1803398875
√125 = 11.1803398875
⚠ 125 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √125 — a number that when multiplied by itself equals 125.
  2. 125 is not a perfect square. Its square root is irrational.
  3. It falls between √121 = 11 and √144 = 12.
  4. Using the formula √N = N^(1/2): √125 = 125^0.5 = 11.1803398875
  5. Verification: 11.1803398875 × 11.1803398875 ≈ 125 ✓ (rounded to 10 significant figures)

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