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

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