# 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:

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