Zadanie 1
\frac{4+\sqrt2}{2+\sqrt2}=\frac{(4+\sqrt2)(2-\sqrt2)}{(2+\sqrt2)(2-\sqrt2)}=\frac{8-4\sqrt2+2\sqrt2-2}{4-2}=\frac{6-2\sqrt2}{2}=\frac{2(3-\sqrt2)}{2}=3-\sqrt2
Zadanie 2
\sqrt[3]9 = 9^{\frac{1}{3}} = (3^2)^{\frac{1}{3}} = 3^{\frac{2}{3}}
\sqrt{27}=27^{\frac{1}{2}}=(3^3)^{\frac{1}{2}}=3^{\frac{3}{2}}