Inequality
Posted: Tue Nov 29, 2016 12:40 pm
Let $a,b, c$ be positive real numbers. Prove that:
$$\sqrt{\frac{2a}{a+b}} +\sqrt{\frac{2b}{b+c}} + \sqrt{\frac{2c}{c+a}} \leq 3$$
(V. Cirtoaje)
$$\sqrt{\frac{2a}{a+b}} +\sqrt{\frac{2b}{b+c}} + \sqrt{\frac{2c}{c+a}} \leq 3$$
(V. Cirtoaje)