What is the Square Root of 765?

Instant answer with step-by-step solution

√765 = 27.6586333719
√765 = 27.6586333719
⚠ 765 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √765 — a number that when multiplied by itself equals 765.
  2. 765 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): √765 = 765^0.5 = 27.6586333719
  5. Verification: 27.6586333719 × 27.6586333719 ≈ 765 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 765765 square root√764 = 27.6405499222√766 = 27.6767050062√763 = 27.6224546339√767 = 27.6947648483√768 = 27.7128129211√762 = 27.6043474837

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots