If a, b and c are three positive real numbers, then the minimum value of the expression $\frac{b + c}{a} + \frac{c + a}{b} + \frac{a + b}{c}$ is

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Solution

The correct option is D
6

AM GM

$\frac{\frac{b}{a} + \frac{c}{a} + \frac{c}{b} + \frac{a}{b} + \frac{a}{c} + \frac{b}{c}}{6}$

$\geq (1)^{\frac{1}{6}}$

$\Rightarrow$ minimum value is 6.

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