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Question Number 150053 by mathdanisur last updated on 09/Aug/21

$$\mathrm{let}\mathrm{x};\mathrm{y};\mathrm{z};\mathrm{t}>0\mathrm{and}\mathrm{x}+\mathrm{y}+\mathrm{z}+\mathrm{t}=4$$ $$\mathrm{prove}\mathrm{that}$$ $$\frac{4}{{\left(\mathrm{xyzt}\right)}^2}+3⩾\sqrt{45+{\mathrm{x}}^4+{\mathrm{y}}^4+{\mathrm{z}}^4+{\mathrm{t}}^4}$$

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