[tex]3\sqrt{24} +3\sqrt{150} -\sqrt{6} =3\sqrt{4\cdot6} +3\sqrt{25\cdot6} -\sqrt{6} =3\cdot2\sqrt{6} +3\cdot5\sqrt{6} -\sqrt{6} =\\=6\sqrt{6} +15\sqrt{6} -\sqrt{6} =\boxed{20\sqrt{6} }[/tex]
[tex]\sqrt[3]{16} +\sqrt[3]{54} -\sqrt[3]{128} =\sqrt[3]{8\cdot2} +\sqrt[3]{27\cdot2} -\sqrt[3]{64\cdot2} =2\sqrt[3]{2} +3\sqrt[3]{2} -4\sqrt[3]{2} =\boxed{\sqrt[3]{2} }[/tex]
