a)
[tex]\sqrt{50} = \sqrt{5*5*2} = 5\sqrt{2}\\\sqrt{28} = \sqrt{2*2*7} = 2\sqrt{7}\\\sqrt{72} = \sqrt{8*9} = \sqrt{2*2*2*3*3} = 2*3\sqrt{2} = 6\sqrt{2}\\\sqrt{200} = \sqrt{2*1000} = 10\sqrt{2}\\\sqrt{1800} = \sqrt{18*100} = \sqrt{2*3*3*10*10} = 3*10\sqrt{2} = 30\sqrt{2}[/tex]
b)
[tex]\sqrt[3]{16} = \sqrt[3]{2*2*2*2} = 2\sqrt[3]{2}\\\sqrt[3]{24} = \sqrt[3]{2*2*2*3} = 2\sqrt[3]{3}\\\sqrt[3]{-128} = \sqrt[3]{(-4)*(-4)*(-4)*2} = -4\sqrt[3]{2}\\\sqrt[3]{3000} = \sqrt[3]{3*10*10*10} = 10\sqrt[3]{3}[/tex]
