For positive a, b, which inequality relates the arithmetic and geometric means?

For positive a, b, which inequality relates the arithmetic and geometric means?

A (a + b)/2 ≤ √(ab)

B (a + b)/2 ≥ √(ab)

C (a + b)/2 = √(ab) only when a ≠ b

D (a + b)/2 ≥ ab

Solution

Correct Answer: Option B