[tex]a)2 \sqrt{7}\cdot4 \sqrt{3}=8 \cdot \sqrt{3\cdot7} =8 \sqrt{21} \\ \\ b)-50\cdot \sqrt{ \frac{1}{2}\cdot 6}=-50 \sqrt{3} \\ \\ c) \frac{3}{4}\cdot \frac{4}{3}\cdot \sqrt{5\cdot2} = \sqrt{10} \\ \\ d)-0,1\cdot10\cdot \sqrt{8}\cdot \sqrt{2}=- \sqrt{8\cdot2}=- \sqrt{16}=- 4 [/tex]
[tex]f)- \sqrt{8}\cdot- \sqrt{9\cdot8}=-2 \sqrt{2}\cdot(-3)\cdot2 \sqrt{2} =-2\cdot(-3)\cdot2\cdot \sqrt{2}\cdot \sqrt{2} = \\ \\ =12\cdot2=24[/tex]
[tex]g) -\frac{1}{5}\cdot5\cdot \sqrt{ \frac{2}{3} } \cdot \sqrt{ \frac{2}{3} } =-1\sqrt{ \frac{2}{3} \frac{2}{3} }=- \frac{2}{3} [/tex]