What is the Square Root of 205?

Instant answer with step-by-step solution

√205 = 14.3178210633
√205 = 14.3178210633
⚠ 205 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √205 — a number that when multiplied by itself equals 205.
  2. 205 is not a perfect square. Its square root is irrational.
  3. It falls between √196 = 14 and √225 = 15.
  4. Using the formula √N = N^(1/2): √205 = 205^0.5 = 14.3178210633
  5. Verification: 14.3178210633 × 14.3178210633 ≈ 205 ✓ (rounded to 10 significant figures)

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