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Inequality

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Tolaso J Kos
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Inequality

#1

Post by Tolaso J Kos » 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)
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