# INEQUALITY'S BLOG

## November 22, 2010

### Problem 65: van khea

Filed under: Uncategorized — KKKVVV @ 1:05 am

Let $a, b, c$ be positive real numbers and satisfying $abc=8$. Prove that:
$\displaystyle \frac{a^{10}\sqrt{a+b}}{b^2+c^2}+\frac{b^{10}\sqrt{b+c}}{c^2+a^2}+\frac{c^{10}\sqrt{c+a}}{a^2+b^2}\geq 3.2^8$