[tex]m_g =\sqrt{(5 \sqrt{2}+7)( 5\sqrt{2}-7 ) }= \sqrt{(5 \sqrt{2})^2-7^2}= \sqrt{50-49}= \sqrt{1}=\boxed{\underline1} \\
m_g= \sqrt{2 \sqrt{24}*9\sqrt{6}}= \sqrt{18\sqrt{144}}=\sqrt{18*12}= \sqrt{216}= \boxed{\underline{6\sqrt{6} }} \\
216|2 \\
108|2 \\
..54|2 \\
..27|3 \\
....9|3 \\
....3|3 \\
[/tex]
