[tex]2 \sqrt{48}-3 \sqrt{108}= \\
48|2............108|2 \\
24|2..............54|2 \\
12|2..............27|3 \\
..6|2................9|3 \\
..3|3................3|3 \\
\sqrt{48}= \sqrt{2^4*3}=2^2*\sqrt{3}=4 \sqrt{3} \\
\sqrt{108}= \sqrt{2^2*3^3}=2*3*\sqrt{3} =6 \sqrt{3} \\
2*4 \sqrt{3}-3*6 \sqrt{3}= \\
8 \sqrt{3}-18 \sqrt{3}=\boxed{-10 \sqrt{3} } [/tex]
