For real positive numbers $a, b, c$, the minimum value of $\frac{b+c}{a}+\frac{c+a}{b}+\frac{a+b}{c}

Question

For real positive numbers $a, b, c$, the minimum value of $\frac{b+c}{a}+\frac{c+a}{b}+\frac{a+b}{c}$ is

Professor PC Thomas Classes · Answer

Applying AM-GM inequality gives a minimum value of 6.