[tex]3m\sqrt{2}[/tex]
Explanation:
[tex]\begin{gathered} \sqrt{6m}*\sqrt{3m}=\text{ }\sqrt{6*m}*\sqrt{3*m} \\ \sqrt{6*m}*\sqrt{3*m}=\sqrt{6}*\sqrt{m}*\sqrt{3}*\sqrt{m} \\ \sqrt{6}*\sqrt{m}*\sqrt{3}*\sqrt{m}=\sqrt{m}*\sqrt{m}*\sqrt{3*2}*\sqrt{3} \\ \sqrt{m}*\sqrt{m}*\sqrt{3*2}*\sqrt{3}=m*\sqrt{3}*\sqrt{2}*\sqrt{3} \\ m*\sqrt{3}*\sqrt{2}*\sqrt{3}=3m\sqrt{2} \end{gathered}[/tex]
