What is the Square Root of 314?

Instant answer with step-by-step solution

√314 = 17.7200451467
√314 = 17.7200451467
⚠ 314 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √314 — a number that when multiplied by itself equals 314.
  2. 314 is not a perfect square. Its square root is irrational.
  3. It falls between √289 = 17 and √324 = 18.
  4. Using the formula √N = N^(1/2): √314 = 314^0.5 = 17.7200451467
  5. Verification: 17.7200451467 × 17.7200451467 ≈ 314 ✓ (rounded to 10 significant figures)

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