What is the Square Root of 255?

Instant answer with step-by-step solution

√255 = 15.9687194227
√255 = 15.9687194227
⚠ 255 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √255 — a number that when multiplied by itself equals 255.
  2. 255 is not a perfect square. Its square root is irrational.
  3. It falls between √225 = 15 and √256 = 16.
  4. Using the formula √N = N^(1/2): √255 = 255^0.5 = 15.9687194227
  5. Verification: 15.9687194227 × 15.9687194227 ≈ 255 ✓ (rounded to 10 significant figures)

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