Square Root of 200

Instant answer with step-by-step solution

√200 = 14.1421356237
√200 = 14.1421356237
⚠ 200 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √200 — a number that when multiplied by itself equals 200.
  2. 200 is not a perfect square. Its square root is irrational.
  3. It falls between √196 = 14 and √225 = 15.
  4. Using the formula √N = N^(1/2): √200 = 200^0.5 = 14.1421356237
  5. Verification: 14.1421356237 × 14.1421356237 ≈ 200 ✓ (rounded to 10 significant figures)

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