Square Root of 165

Instant answer with step-by-step solution

√165 = 12.8452325787
√165 = 12.8452325787
⚠ 165 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √165 — a number that when multiplied by itself equals 165.
  2. 165 is not a perfect square. Its square root is irrational.
  3. It falls between √144 = 12 and √169 = 13.
  4. Using the formula √N = N^(1/2): √165 = 165^0.5 = 12.8452325787
  5. Verification: 12.8452325787 × 12.8452325787 ≈ 165 ✓ (rounded to 10 significant figures)

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