\[10\sqrt{3} - 4\sqrt{48} - \sqrt{75} =\]
\[= 10\sqrt{3} - 4\sqrt{16 \cdot 3} - \sqrt{25 \cdot 3} =\]
\[= 10\sqrt{3} - 4 \cdot 4\sqrt{3} - 5\sqrt{3} =\]
\[= 5\sqrt{3} - 16\sqrt{3} = - 11\sqrt{3}.\]