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Question Number 7135 by Master Moon last updated on 12/Aug/16

$$\mathbf{Prove}\mathbf{that}$$$$\frac{3}{\sqrt[5]{2}+\sqrt[5]{3}+\sqrt[5]{5}}>\frac{\sqrt[4]{2}+\sqrt[4]{3}+\sqrt[4]{5}}{(\sqrt{2}+\sqrt{3}+\sqrt{5})(\sqrt[3]{2}+\sqrt[3]{3}+\sqrt[3]{5})}$$$$$$$$Howtoproveit?$$

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