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Chứng minh rằng $\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{\sqrt{a^{2}+b^{2}+c^{2}}}\geq \frac{5}{3&#

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taideptrai

taideptrai

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Cho a,b,c dương thoả mãn $\frac{1}{c^{2}}=\frac{2}{a^{2}}+\frac{2}{b^{2}}$

 

Chứng minh rằng $\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{\sqrt{a^{2}+b^{2}+c^{2}}}\geq \frac{5}{3}$


                                                                                               Nothing is impossible





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