What is the Square Root of 71?

Instant answer with step-by-step solution

√71 = 8.4261497732
√71 = 8.4261497732
⚠ 71 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √71 — a number that when multiplied by itself equals 71.
  2. 71 is not a perfect square. Its square root is irrational.
  3. It falls between √64 = 8 and √81 = 9.
  4. Using the formula √N = N^(1/2): √71 = 71^0.5 = 8.4261497732
  5. Verification: 8.4261497732 × 8.4261497732 ≈ 71 ✓ (rounded to 10 significant figures)

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