What is the Square Root of 364?

Instant answer with step-by-step solution

√364 = 19.0787840283
√364 = 19.0787840283
⚠ 364 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √364 — a number that when multiplied by itself equals 364.
  2. 364 is not a perfect square. Its square root is irrational.
  3. It falls between √361 = 19 and √400 = 20.
  4. Using the formula √N = N^(1/2): √364 = 364^0.5 = 19.0787840283
  5. Verification: 19.0787840283 × 19.0787840283 ≈ 364 ✓ (rounded to 10 significant figures)

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Related calculations

Square root of 364364 square root√363 = 19.0525588833√365 = 19.1049731745√362 = 19.0262975904√366 = 19.1311264697√367 = 19.1572440607√361 = 19

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Square Root Laws Square Root Chart Easiest Method Negative Square Roots