What is the Square Root of 728?

Instant answer with step-by-step solution

√728 = 26.9814751265
√728 = 26.9814751265
⚠ 728 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √728 — a number that when multiplied by itself equals 728.
  2. 728 is not a perfect square. Its square root is irrational.
  3. It falls between √676 = 26 and √729 = 27.
  4. Using the formula √N = N^(1/2): √728 = 728^0.5 = 26.9814751265
  5. Verification: 26.9814751265 × 26.9814751265 ≈ 728 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 728728 square root√727 = 26.9629375254√729 = 27√726 = 26.9443871706√730 = 27.0185121722√731 = 27.0370116692√725 = 26.9258240357

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Also see

Square Root Laws Square Root Chart Easiest Method Negative Square Roots