Cho $a,b,c$ là các số thực không âm
Chứng minh rằng $\frac{a^2+2a\sqrt{bc}}{b+c}+\frac{b^2+2b\sqrt{ac}}{a+c}+\frac{c^2+2c\sqrt{ab}}{a+b}\geqslant \frac{2}{3}(\sqrt{a^2+bc}+\sqrt{b^2+ac}+\sqrt{c^2+ab})$
Chứng minh $\sum \frac{a^2+2a\sqrt{bc}}{b+c}\geqslant \frac{2}{3}\sum \sqrt{a^2+bc}$
Started By 25 minutes, 12-05-2014 - 19:53
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