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Question Number 149474 by mathdanisur last updated on 05/Aug/21

$$x;y;z⩾0\mathrm{and}x+y+z=3\mathrm{prove}\mathrm{that}:$$$$\sqrt[12]{x^5}+\sqrt[12]{y^5}+\sqrt[12]{z^5}⩾xy+yz+zx$$

Commented by dumitrel last updated on 06/Aug/21

$$hint?$$

Commented by mathdanisur last updated on 06/Aug/21

$$\mathbf{S}\mathrm{er},\mathrm{inequality}\mathrm{is}\mathrm{given}\mathrm{in}\mathrm{this}\mathrm{way}$$

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