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Inequality

Posted: Tue Nov 29, 2016 12:40 pm
by Tolaso J Kos
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)