INEQUALITY'S BLOG

July 26, 2010

(Van Khea):Problem 003

Filed under: the new math — KKKVVV @ 3:32 pm

Let a, b, c>0 ; a+b+c=abc. Prove that:

\displaystyle \frac{1}{(a+b)\sqrt{b^{2}+c^{2}}}+\frac{1}{(b+c)\sqrt{c^{2}+a^{2}}}+\frac{1}{(c+a)\sqrt{a^{2}+b^{2}}}\leq \frac{\sqrt{2}}{4}

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