[tex]2 \sqrt{12} - 4 \sqrt{3} = \\ \\ 2 \times \sqrt{ {2}^{2} \times 3 } - 4 \sqrt{3} = \\ \\ 2( \sqrt{2 ^{2} } \times \sqrt{3}) - 4 \sqrt{3} = \\ \\ 2( {2}^{ \frac{2}{2} } \times \sqrt{3}) - 4 \sqrt{3} = \\ \\ 2(2 \times \sqrt{3}) - 4 \sqrt{3} = \\ \\ 2 \times 2 \sqrt{3} \times 4 \sqrt{3} = \\ \\ 4 \sqrt{3} - 4 \sqrt{3} = \\ \\ 0 [/tex]
