A
[tex] \sqrt{3} \times \sqrt{ \frac{5}{3} } = \sqrt{3 \times \frac{5}{3} } = \sqrt{5} [/tex]
B
[tex] \\ \frac{6 \sqrt{5} - 4 \sqrt{5} }{ \sqrt{5} } = \frac{2 \sqrt{5} }{ \sqrt{5} } = 2[/tex]
C
[tex] \\ \frac{ \sqrt{7} }{2 \sqrt{7} + 4 \sqrt{7} } = \frac{ \sqrt{7} }{6 \sqrt{7} } = \frac{1}{6} [/tex]
D
[tex] \\ \frac{8 \sqrt{3} - 2 \sqrt{3} }{4 \sqrt{3} - \sqrt{3} } = \frac{6 \sqrt{3} }{3 \sqrt{3} } = \frac{6}{3} = 2[/tex]
E
[tex]2 \sqrt{3} \times 3 \sqrt{2} = 6 \sqrt{6} [/tex]
F
[tex] \\ \frac{6 \sqrt{27} }{3 \sqrt{3} } = \frac{18\sqrt{3} }{3 \sqrt{3} } = \frac{18}{3} = 6[/tex]
G
[tex] \\ \frac{ \sqrt[3]{2} \times \sqrt[3]{15} }{ \sqrt[3]{6} } = \frac{ \sqrt[3]{30} }{ \sqrt[3]{6} } = \sqrt[3]{5} [/tex]
H
[tex] \\ \frac{2 \sqrt[3]{3} \times 3 \sqrt[3]{ - 10} }{ \sqrt[3]{5} } = \frac{2 \sqrt[3]{3} \times ( - 3 \sqrt[3]{10} ) }{ \sqrt[3]{5} } = \\ \\ = \frac{ - 6 \sqrt[3]{30} }{ \sqrt[3]{5} } = - 6 \sqrt[3]{6} [/tex]
