What is the Square Root of 628?

Instant answer with step-by-step solution

√628 = 25.0599281723
√628 = 25.0599281723
⚠ 628 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √628 — a number that when multiplied by itself equals 628.
  2. 628 is not a perfect square. Its square root is irrational.
  3. It falls between √625 = 25 and √676 = 26.
  4. Using the formula √N = N^(1/2): √628 = 628^0.5 = 25.0599281723
  5. Verification: 25.0599281723 × 25.0599281723 ≈ 628 ✓ (rounded to 10 significant figures)

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