What is the Square Root of 208?

Instant answer with step-by-step solution

√208 = 14.4222051019
√208 = 14.4222051019
⚠ 208 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √208 — a number that when multiplied by itself equals 208.
  2. 208 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): √208 = 208^0.5 = 14.4222051019
  5. Verification: 14.4222051019 × 14.4222051019 ≈ 208 ✓ (rounded to 10 significant figures)

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