Zapisz w prostszej postaci. a) 2[latex] sqrt[3]{-24} [/latex] -5[latex] sqrt[3]{-81} [/latex] + [latex] sqrt[3]{-375} [/latex] b) 4[latex] sqrt[3]{-27} [/latex] - 5[latex] sqrt[3]{-162} [/latex] + [latex] sqrt[3]{-750} [/latex]

[latex]2sqrt[3]{-24}-5sqrt[3]{-81}+sqrt[3]{-375}=\ =2sqrt[3]{(-8) cdot 3}-5sqrt[3]{(-27) cdot 3}+sqrt[3]{(-125) cdot 3}=\ =2 cdot (-2) cdot sqrt[3]{3}-5 cdot (-3) cdot sqrt[3]{3}+(-5) cdot sqrt[3]{3}=\ =-4sqrt[3]{3}+15sqrt[3]{3}-5sqrt[3]{3}=6sqrt[3]{3}\ \ 4sqrt[3]{-27}-5sqrt[3]{-162}+sqrt[3]{-750}=\ =4cdot (-3)-5sqrt[3]{(-27) cdot 6}+sqrt[3]{(-125) cdot 6}=\ =-12-5cdot (-3)sqrt[3]{6}+(-5)sqrt[3]{6}=\ =-12+15sqrt[3]{6}-5sqrt[3]{6}=-12+10sqrt[3]{6}[/latex]