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simple three variable

Source:

December 19, 2007
inequalitiesinequalities unsolvedalgebra

Problem Statement

Let a,b,c>0 a,b,c>0. Prove that \frac{a}{b}\plus{}\frac{b}{c}\plus{}\frac{c}{a}\geq 3\sqrt{\frac{a^2\plus{}b^2\plus{}c^2}{ab\plus{}bc\plus{}ca}}
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