What is the Square Root of 397?

Instant answer with step-by-step solution

√397 = 19.9248588452
√397 = 19.9248588452
⚠ 397 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √397 — a number that when multiplied by itself equals 397.
  2. 397 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): √397 = 397^0.5 = 19.9248588452
  5. Verification: 19.9248588452 × 19.9248588452 ≈ 397 ✓ (rounded to 10 significant figures)

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