[tex]a) \ \sqrt{27} = \sqrt{9\cdot3}=\sqrt{9}\cdot\sqrt{3} = 3\sqrt{3}\\\\b) \ \sqrt{128} = \sqrt{64\cdot2} = \sqrt{64}\cdot\sqrt{2} = 8\sqrt{2}\\\\c) \ \sqrt{75} = \sqrt{25\cdot3} = \sqrt{25}\cdot\sqrt{3} = 5\sqrt{3}\\\\d) \ \sqrt[3]{81} = \sqrt[3]{27\cdot3} = \sqrt[3]{27}\cdot\sqrt[3]{3} = 3\sqrt[3]{3}\\\\e) \ \sqrt[3]{2000} = \sqrt[3]{1000\cdot2} = \sqrt[3]{1000}\cdot\sqrt[3]{2} = 10\sqrt[3]{2}\\\\f) \ \sqrt[3]{88} = \sqrt[3]{8\cdot11} = \sqrt[3]{8}\cdot\sqrt[3]{11} = 2\sqrt[3]{11}[/tex]
