What is the Square Root of 189?

Instant answer with step-by-step solution

√189 = 13.7477270849
√189 = 13.7477270849
⚠ 189 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √189 — a number that when multiplied by itself equals 189.
  2. 189 is not a perfect square. Its square root is irrational.
  3. It falls between √169 = 13 and √196 = 14.
  4. Using the formula √N = N^(1/2): √189 = 189^0.5 = 13.7477270849
  5. Verification: 13.7477270849 × 13.7477270849 ≈ 189 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 189189 square root√188 = 13.7113092008√190 = 13.7840487521√187 = 13.6747943312√191 = 13.8202749611√192 = 13.8564064606√186 = 13.638181697

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots