What is the Square Root of 313?

Instant answer with step-by-step solution

√313 = 17.691806013
√313 = 17.691806013
⚠ 313 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √313 — a number that when multiplied by itself equals 313.
  2. 313 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): √313 = 313^0.5 = 17.691806013
  5. Verification: 17.691806013 × 17.691806013 ≈ 313 ✓ (rounded to 10 significant figures)

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