Square Root of 105

Instant answer with step-by-step solution

√105 = 10.246950766
√105 = 10.246950766
⚠ 105 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √105 — a number that when multiplied by itself equals 105.
  2. 105 is not a perfect square. Its square root is irrational.
  3. It falls between √100 = 10 and √121 = 11.
  4. Using the formula √N = N^(1/2): √105 = 105^0.5 = 10.246950766
  5. Verification: 10.246950766 × 10.246950766 ≈ 105 ✓ (rounded to 10 significant figures)

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