[tex]5\sqrt{2} = \sqrt{2*5*5} = \sqrt{2*25} = \sqrt{50} \\3\sqrt{7} = \sqrt{7*3*3} = \sqrt{7*9} = \sqrt{63} \\2\sqrt{5} = \sqrt{5*2*2} = \sqrt{5*4} = \sqrt{20} \\3\sqrt[3]{3} = \sqrt[3]{3*3*3*3} = \sqrt[3]{3*27} = \sqrt[3]{81} \\2\sqrt[3]{5} = \sqrt[3]{2*5*5*5} = \sqrt[3]{2*125} = \sqrt[3]{250} \\4\sqrt[3]{2} = \sqrt[3]{2*4*4*4} = \sqrt[3]{2*64} = \sqrt[3]{128}[/tex]
