INEQUALITY'S BLOG

July 11, 2011

Problem 227 (van khea)

Filed under: Problem by Van Khea — KKKVVV @ 11:34 pm

Let a, b, c>0\& abc=1. Prove that: \displaystyle \frac{a^{\frac{2}{3}}}{\sqrt{1+b}}+\frac{b^{\frac{2}{3}}}{\sqrt{1+c}}+\frac{c^{\frac{2}{3}}}{\sqrt{1+a}}\geq \frac{3}{\sqrt{2}}

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