Square Root of 226

Instant answer with step-by-step solution

√226 = 15.0332963784
√226 = 15.0332963784
⚠ 226 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √226 — a number that when multiplied by itself equals 226.
  2. 226 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): √226 = 226^0.5 = 15.0332963784
  5. Verification: 15.0332963784 × 15.0332963784 ≈ 226 ✓ (rounded to 10 significant figures)

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