[tex]A)\\\\3\sqrt{5}+4\sqrt{5}=7\sqrt{5}\\\\B)\\\\\sqrt{33}*\sqrt{3\frac{2}{3}}=\sqrt{\not{33}^{11} * \frac{11}{ \not{3}^1}} =\sqrt{121}=11\\\\C)\\\\3\sqrt{6}*\frac{1}{2}\sqrt{2}=\frac{3}{2}\sqrt{6*2}=\frac{3}{2}\sqrt{12}=\frac{3}{2}*\sqrt{4*3}=\frac{3}{2}*\sqrt{4 }*\sqrt{3}=\frac{3}{\not{2}^1}*\not{2}^1*\sqrt{3}=3\sqrt{3}[/tex]
[tex]D)\\\\(\frac{4 \sqrt{6}}{3} )^2=\frac{16*6}{9}=\frac{96}{9}=\frac{32}{3}=10\frac{2}{3}\\\\E)\\\\6^6*6^4: (6^3)^3=6^{6+4}:6^{3*3}=6^{10}:6^{9}=6^{10-9}=6\\\\F)\\\\\frac{3,9*10^4}{3*10^6}=1,3*10^{4-6}=1,3*10^{-2}[/tex]
