INEQUALITY'S BLOG

December 22, 2010

Problem 075: Van Khea

Filed under: Problem by Van Khea — KKKVVV @ 8:11 am

Let a, b, c are positive real numbers. Prove that:

\displaystyle \frac{a^2}{\sqrt{b+c}}+\frac{b^2}{\sqrt{c+a}}+\frac{c^2}{\sqrt{a+b}}\geq \frac{(a^2+b^2+c^2)\sqrt{a+b+c}}{\sqrt{2(ab+bc+ca})}

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