Square Root of 395

Instant answer with step-by-step solution

√395 = 19.8746069144
√395 = 19.8746069144
⚠ 395 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √395 — a number that when multiplied by itself equals 395.
  2. 395 is not a perfect square. Its square root is irrational.
  3. It falls between √361 = 19 and √400 = 20.
  4. Using the formula √N = N^(1/2): √395 = 395^0.5 = 19.8746069144
  5. Verification: 19.8746069144 × 19.8746069144 ≈ 395 ✓ (rounded to 10 significant figures)

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