\[5\sqrt{48} - 2\sqrt{75} =\]
\[= 5\sqrt{16 \cdot 3} - 2\sqrt{25 \cdot 3} =\]
\[= 5 \cdot 4\sqrt{3} - 2 \cdot 5\sqrt{3} =\]
\[= 20\sqrt{3} - 10\sqrt{3} = 10\sqrt{3}.\]