What is the Square Root of 138?

Instant answer with step-by-step solution

√138 = 11.7473401245
√138 = 11.7473401245
⚠ 138 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √138 — a number that when multiplied by itself equals 138.
  2. 138 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): √138 = 138^0.5 = 11.7473401245
  5. Verification: 11.7473401245 × 11.7473401245 ≈ 138 ✓ (rounded to 10 significant figures)

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