Square Root of 828

Instant answer with step-by-step solution

√828 = 28.7749891399
√828 = 28.7749891399
⚠ 828 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √828 — a number that when multiplied by itself equals 828.
  2. 828 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): √828 = 828^0.5 = 28.7749891399
  5. Verification: 28.7749891399 × 28.7749891399 ≈ 828 ✓ (rounded to 10 significant figures)

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