8.
[tex]a) \ \sqrt{3}\cdot\sqrt{12}=\sqrt{3\cdot12} = \sqrt{36} = 6\\\\b) \ \frac{\sqrt{8}}{\sqrt{2}} = \sqrt{\frac{8}{2}} = \sqrt{4} = 2\\\\c) \ \sqrt[3]2}\cdot\sqrt[3]{4} = \sqrt[3]{2\cdot4} = \sqrt[3]{8} = 2[/tex]
[tex]d) \ \frac{\sqrt[3]{135}}{\sqrt[3]{5}} = \sqrt[3]{\frac{135}{5}} = \sqrt[3]{27} = 3[/tex]
