[tex] \sqrt{108} *( \sqrt{48} - \sqrt{243} )+6 \sqrt{2} *( \sqrt{288} - \sqrt{200} )=\\
=6 \sqrt{3} *( 4\sqrt{3} -9 \sqrt{3} )+6 \sqrt{2} *(12 \sqrt{2} -10 \sqrt{2} )\\
=6 \sqrt{3} *-5 \sqrt{3} +6 \sqrt{2} *2 \sqrt{2} \\
=-30*3+12*2\\
=-90+24\\
\boxed{=-66}[/tex]
