Cho hai số thực m, n thỏa mãn n

* Hướng dẫn giải

Đáp án A

$$\begin{gathered} {\left(\sqrt{3}-\sqrt{2}\right)}^{\frac{-m}{2}}>{\left(9\sqrt{3}+11\sqrt{2}\right)}^{\frac{n}{6}} \\ \iff {\left(\sqrt{3}-\sqrt{2}\right)}^{\frac{-m}{2}}{\left(\sqrt{3}-\sqrt{2}\right)}^{\frac{n}{2}} \\ >{\left(\sqrt{3}+\sqrt{2}\right)}^{\frac{n}{2}}{\left(\sqrt{3}-\sqrt{2}\right)}^{\frac{n}{2}} \end{gathered}$$

$\iff {\left(\sqrt{3}-\sqrt{2}\right)}^{\frac{n-m}{2}}>1$ do $0<\sqrt{3}-\sqrt{2}<1\Rightarrow \frac{n-m}{2}<0\iff m>n$