What is the Square Root of 312?

Instant answer with step-by-step solution

√312 = 17.6635217327
√312 = 17.6635217327
⚠ 312 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √312 — a number that when multiplied by itself equals 312.
  2. 312 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): √312 = 312^0.5 = 17.6635217327
  5. Verification: 17.6635217327 × 17.6635217327 ≈ 312 ✓ (rounded to 10 significant figures)

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