768 Square Root

Instant answer with step-by-step solution

√768 = 27.7128129211
√768 = 27.7128129211
⚠ 768 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √768 — a number that when multiplied by itself equals 768.
  2. 768 is not a perfect square. Its square root is irrational.
  3. It falls between √729 = 27 and √784 = 28.
  4. Using the formula √N = N^(1/2): √768 = 768^0.5 = 27.7128129211
  5. Verification: 27.7128129211 × 27.7128129211 ≈ 768 ✓ (rounded to 10 significant figures)

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