INEQUALITY'S BLOG

September 30, 2011

Problem 306 Van Khea

Filed under: Problem by Van Khea — KKKVVV @ 2:00 am

If a, b, c are positive real numbers such that abc=1. Prove that:

\displaystyle \sqrt{\frac{a}{b(c+3)}}+\sqrt{\frac{b}{c(a+3)}}+\sqrt{\frac{c}{a(b+3)}}\geq \frac{3}{2}

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