Zadanie 1 OBLICZ: a) [latex] 2sqrt[3]{-1} - sqrt[3]{-27} [/latex] b) [latex] sqrt[3]{ frac{-8}{125} } - sqrt[3]{-2 frac{10}{27} } [/latex] c) [latex] sqrt[3]{-16} - sqrt[3]{-72} \------- \ 5 sqrt[3]{2} - sqrt[3]{-9} [/latex]

a) = [latex] sqrt[3]{8} * sqrt[3]{-1} - sqrt[3]{27}= sqrt[3]{-8} - sqrt[3]{27}= -2-3=-5[/latex] b)= [latex] sqrt[3]{ frac{-8}{125} } - sqrt[3]{- frac{64}{27} } = - frac{2}{5} - frac{4}{3} = - frac{6}{15} - frac{20}{15} = - frac{26}{15} = - 1 frac{11}{15} [/latex] c) = [latex] frac{ sqrt[3]{2} * sqrt[3]{- 8} - sqrt[3]{9}* sqrt[3]{-8} }{ 5sqrt[3]{2} - sqrt[3]{9} }[/latex]= [latex] frac{ -2 sqrt[3]{2}+2 sqrt[3]{9} }{ 5sqrt[3]{2} - sqrt[3]{9} } [/latex]= [latex] frac{( sqrt[3]{2} - sqrt[3]{9} )(-2-2)}{( sqrt[3]{2} - sqrt[3]{9} )(5-1)} [/latex]= [latex] frac{-4}{4} [/latex]= -1