[tex]a) \sqrt{2} \times \sqrt{3} = \sqrt{6} \\ b) \sqrt{7} \times \sqrt{5} = \sqrt{35} \\ c) \sqrt{6} \times \sqrt{6} = \sqrt{36} = 6 \\ d) \sqrt{27} \times \sqrt{3} = \sqrt{81} = 9[/tex]
[tex]a) \frac{ \sqrt{12} }{ \sqrt{3} } = \frac{ \sqrt{4 \times 3} }{ \sqrt{3} } = \frac{2 \sqrt{3} }{ \sqrt{3} } = 2 \\ b) \frac{ \sqrt{35} }{ \sqrt{7} } = \frac{ \sqrt{5 \times 7 } }{ \sqrt{7} } = \frac{ \sqrt{5} \times \sqrt{7} }{ \sqrt{7} } = \sqrt{5} \\c) \frac{ \sqrt{14} }{ \sqrt{14} } = 1 \\ d) \frac{ \sqrt{34} }{ \sqrt{17} } = \frac{ \sqrt{2 \times 17} }{ \sqrt{17} } = \frac{ \sqrt{2} \times \sqrt{17} }{ \sqrt{17} } = \sqrt{2} [/tex]
