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Question Number 154596 by mathdanisur last updated on 19/Sep/21

$$\mathrm{let}\mathrm{x};\mathrm{y};\mathrm{z}>0\mathrm{prove}\mathrm{that}:$$ $$\frac{\mathrm{z}}{\sqrt{{\mathrm{x}}^2+{\mathrm{y}}^2}}+\sqrt{2}⩾2\sqrt{\frac{\mathrm{z}}{\mathrm{x}+\mathrm{y}}}+\frac{\sqrt{2\mathrm{xy}}}{\mathrm{x}+\mathrm{y}}$$

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