Square Root of 678

Instant answer with step-by-step solution

√678 = 26.0384331326
√678 = 26.0384331326
⚠ 678 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √678 — a number that when multiplied by itself equals 678.
  2. 678 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): √678 = 678^0.5 = 26.0384331326
  5. Verification: 26.0384331326 × 26.0384331326 ≈ 678 ✓ (rounded to 10 significant figures)

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