For all positive real numbers [tex]x,y[/tex] prove that:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \frac{1}{1+\sqrt{x}}+\frac{1}{1+\sqrt{y}} \geq \frac{2\sqrt{2}}{1+\sqrt{2}}[/tex]

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# For all positive real numbers

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