a)
[tex]\sqrt{50} = \sqrt{5*5*2} = 5\sqrt{2}\\\sqrt{28} = \sqrt{2*2*7} = 2\sqrt{7}\\\sqrt{72} = \sqrt{9*4*2} = 3*2*\sqrt{2} = 6\sqrt{2}\\\sqrt{200} = \sqrt{2*4*25} = 2*5*\sqrt{2} = 10\sqrt{2}\\\sqrt{1800} = \sqrt{18*100} = \sqrt{9*2*100} = 3*10*\sqrt{2} = 30\sqrt{2}[/tex]
b)
[tex]\sqrt{16} = 4\\\sqrt{324} = \sqrt{4*9*9} = 2*9=18\\\sqrt{-128}=\sqrt{-1*4*4*4*2}=2*2*2*\sqrt{-2} = 8\sqrt{-2}\\\sqrt{33000} = \sqrt{2*4*3*5*25*11}=2*5*\sqrt{2*3*5*11} = 10\sqrt{330}[/tex]
