What is the Square Root of 966?

Instant answer with step-by-step solution

√966 = 31.0805405358
√966 = 31.0805405358
⚠ 966 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √966 — a number that when multiplied by itself equals 966.
  2. 966 is not a perfect square. Its square root is irrational.
  3. It falls between √961 = 31 and √1024 = 32.
  4. Using the formula √N = N^(1/2): √966 = 966^0.5 = 31.0805405358
  5. Verification: 31.0805405358 × 31.0805405358 ≈ 966 ✓ (rounded to 10 significant figures)

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