Square Root of 345

Instant answer with step-by-step solution

√345 = 18.574175621
√345 = 18.574175621
⚠ 345 is not a perfect square — result rounded to 10 significant figures

Step-by-step explanation

  1. We need to find √345 — a number that when multiplied by itself equals 345.
  2. 345 is not a perfect square. Its square root is irrational.
  3. It falls between √324 = 18 and √361 = 19.
  4. Using the formula √N = N^(1/2): √345 = 345^0.5 = 18.574175621
  5. Verification: 18.574175621 × 18.574175621 ≈ 345 ✓ (rounded to 10 significant figures)

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