What is the Square Root of 149?

Instant answer with step-by-step solution

√149 = 12.2065556157
√149 = 12.2065556157
⚠ 149 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √149 — a number that when multiplied by itself equals 149.
  2. 149 is not a perfect square. Its square root is irrational.
  3. It falls between √144 = 12 and √169 = 13.
  4. Using the formula √N = N^(1/2): √149 = 149^0.5 = 12.2065556157
  5. Verification: 12.2065556157 × 12.2065556157 ≈ 149 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 149149 square root√148 = 12.1655250606√150 = 12.2474487139√147 = 12.124355653√151 = 12.2882057274√152 = 12.3288280059√146 = 12.0830459736

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots