What is the Square Root of 823?

Instant answer with step-by-step solution

√823 = 28.6879765756
√823 = 28.6879765756
⚠ 823 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √823 — a number that when multiplied by itself equals 823.
  2. 823 is not a perfect square. Its square root is irrational.
  3. It falls between √784 = 28 and √841 = 29.
  4. Using the formula √N = N^(1/2): √823 = 823^0.5 = 28.6879765756
  5. Verification: 28.6879765756 × 28.6879765756 ≈ 823 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 823823 square root√822 = 28.6705423737√824 = 28.7054001888√821 = 28.6530975638√825 = 28.7228132327√826 = 28.7402157264√820 = 28.6356421266

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots