What is the Square Root of 137?

Instant answer with step-by-step solution

√137 = 11.7046999107
√137 = 11.7046999107
⚠ 137 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √137 — a number that when multiplied by itself equals 137.
  2. 137 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): √137 = 137^0.5 = 11.7046999107
  5. Verification: 11.7046999107 × 11.7046999107 ≈ 137 ✓ (rounded to 10 significant figures)

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