What is the Square Root of 127?

Instant answer with step-by-step solution

√127 = 11.2694276696
√127 = 11.2694276696
⚠ 127 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √127 — a number that when multiplied by itself equals 127.
  2. 127 is not a perfect square. Its square root is irrational.
  3. It falls between √121 = 11 and √144 = 12.
  4. Using the formula √N = N^(1/2): √127 = 127^0.5 = 11.2694276696
  5. Verification: 11.2694276696 × 11.2694276696 ≈ 127 ✓ (rounded to 10 significant figures)

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