Square Root of 315

Instant answer with step-by-step solution

√315 = 17.7482393493
√315 = 17.7482393493
⚠ 315 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √315 — a number that when multiplied by itself equals 315.
  2. 315 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): √315 = 315^0.5 = 17.7482393493
  5. Verification: 17.7482393493 × 17.7482393493 ≈ 315 ✓ (rounded to 10 significant figures)

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