a) [tex]\sqrt[3]{8000} - \sqrt[3]{125} - \sqrt[3]{729} = 20 - 5 - 9 = 6[/tex]
b) [tex]\sqrt[3]{6^3+4^3+7*3^2} + \sqrt[4]{216}^2 - \sqrt[3]{12*5+12*6+12*7} =[/tex]
[tex]= \sqrt[3]{216+64+7*9} + \sqrt[]{216} - \sqrt[3]{60+71+84} = \sqrt[3]{216+64+63} - 6\sqrt{6} - \sqrt[3]{216} = \sqrt[3]{342} + 6\sqrt{6} - 6 = 7 + 6\sqrt{6} - 6 = 1 + 6\sqrt{6}[/tex]