manhtadt 01

Cho a;b;c>0 TM  $\sqrt{a}+\sqrt{b}+\sqrt{c}\geq 3\sqrt{2}. CMR: \sqrt[3]{a^{2}+\frac{1}{b^{2}}}+\sqrt[3]{b^{2}+\frac{1}{c^{2}}}+\sqrt[3]{c^{2}+\frac{1}{a^{2}}}\geq 3\sqrt[3]{\frac{17}{4}}$