Nếu ${{\left( \sqrt{3}-\sqrt{2} \right)}^{2m-2}}<\sqrt{3}+\sqrt{2}$ thì

Ta có ${{\left( \sqrt{3}-\sqrt{2} \right)}^{2m-2}}<\sqrt{3}+\sqrt{2}\Leftrightarrow {{\left( \sqrt{3}-\sqrt{2} \right)}^{2m-2}}<{{\left( \sqrt{3}-\sqrt{2} \right)}^{-1}}\Leftrightarrow 2m-2>-1\Leftrightarrow m>\dfrac{1}{2}.$