OSN 2008 Problem 2

Prove that for $x,y\in\mathbb{R^ + }$ , $\frac {1}{(1 + \sqrt {x})^{2}} + \frac {1}{(1 + \sqrt {y})^{2}} \ge \frac {2}{x + y + 2}$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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