Square Root of 964

Instant answer with step-by-step solution

√964 = 31.0483493925
√964 = 31.0483493925
⚠ 964 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √964 — a number that when multiplied by itself equals 964.
  2. 964 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): √964 = 964^0.5 = 31.0483493925
  5. Verification: 31.0483493925 × 31.0483493925 ≈ 964 ✓ (rounded to 10 significant figures)

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