What is the Square Root of 684?

Instant answer with step-by-step solution

√684 = 26.1533936612
√684 = 26.1533936612
⚠ 684 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √684 — a number that when multiplied by itself equals 684.
  2. 684 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): √684 = 684^0.5 = 26.1533936612
  5. Verification: 26.1533936612 × 26.1533936612 ≈ 684 ✓ (rounded to 10 significant figures)

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