Inequality

General Mathematics
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Tolaso J Kos
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Inequality

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Post 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)
Imagination is much more important than knowledge.
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