INEQUALITY'S BLOG

August 7, 2011

Problem 251 van khea

Filed under: Problem by Van Khea — KKKVVV @ 1:21 am

Let a, b, c be positive real numbers such that a\leq b\leq c\&a+b+c=3. Prove that:

\displaystyle \sqrt[4]{a(a+b)}+\sqrt[4]{b(b+c)}+\sqrt[4]{c(c+a)}\geq \frac{\sqrt[4]{2}}{3}(ab+bc+ca)^2

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