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Question Number 154758 by mathdanisur last updated on 21/Sep/21

$$\mathrm{if}\mathrm{x};\mathrm{y};\mathrm{z}⩾0\mathrm{and}{\mathrm{x}}^2+{\mathrm{y}}^2+{\mathrm{z}}^2=1$$$$\mathrm{then}\mathrm{prove}\mathrm{that}:$$$$\frac{\mathrm{x}+\mathrm{y}+\mathrm{z}}{1+\mathrm{xy}}⩽\sqrt{2}$$

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