What is the Square Root of 261?

Instant answer with step-by-step solution

√261 = 16.1554944214
√261 = 16.1554944214
⚠ 261 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √261 — a number that when multiplied by itself equals 261.
  2. 261 is not a perfect square. Its square root is irrational.
  3. It falls between √256 = 16 and √289 = 17.
  4. Using the formula √N = N^(1/2): √261 = 261^0.5 = 16.1554944214
  5. Verification: 16.1554944214 × 16.1554944214 ≈ 261 ✓ (rounded to 10 significant figures)

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