What is the Square Root of 389?

Instant answer with step-by-step solution

√389 = 19.7230829233
√389 = 19.7230829233
⚠ 389 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √389 — a number that when multiplied by itself equals 389.
  2. 389 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): √389 = 389^0.5 = 19.7230829233
  5. Verification: 19.7230829233 × 19.7230829233 ≈ 389 ✓ (rounded to 10 significant figures)

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