What is the Square Root of 230?

Instant answer with step-by-step solution

√230 = 15.1657508881
√230 = 15.1657508881
⚠ 230 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √230 — a number that when multiplied by itself equals 230.
  2. 230 is not a perfect square. Its square root is irrational.
  3. It falls between √225 = 15 and √256 = 16.
  4. Using the formula √N = N^(1/2): √230 = 230^0.5 = 15.1657508881
  5. Verification: 15.1657508881 × 15.1657508881 ≈ 230 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 230230 square root√229 = 15.1327459504√231 = 15.1986841536√228 = 15.0996688705√232 = 15.2315462117√233 = 15.2643375225√227 = 15.0665191733

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots