Square Root of 180

Instant answer with step-by-step solution

√180 = 13.416407865
√180 = 13.416407865
⚠ 180 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √180 — a number that when multiplied by itself equals 180.
  2. 180 is not a perfect square. Its square root is irrational.
  3. It falls between √169 = 13 and √196 = 14.
  4. Using the formula √N = N^(1/2): √180 = 180^0.5 = 13.416407865
  5. Verification: 13.416407865 × 13.416407865 ≈ 180 ✓ (rounded to 10 significant figures)

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