Square Root of 813

Instant answer with step-by-step solution

√813 = 28.5131548588
√813 = 28.5131548588
⚠ 813 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √813 — a number that when multiplied by itself equals 813.
  2. 813 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): √813 = 813^0.5 = 28.5131548588
  5. Verification: 28.5131548588 × 28.5131548588 ≈ 813 ✓ (rounded to 10 significant figures)

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