Zadanie 2
a-b=5-3\sqrt2-(2+4\sqrt2)=5-3\sqrt2-2-4\sqrt2=3-7\sqrt2
Zadanie 6
(3+2\sqrt5)^2=a+b\sqrt5
9+12\sqrt5+4*5=a+b\sqrt5
29+12\sqrt5=a+b\sqrt5
a=29 , b=12
Zadanie 11
\frac{\sqrt3}{\sqrt3+\sqrt6}=\frac{\sqrt3(\sqrt3-\sqrt6)}{(\sqrt3+\sqrt6)(\sqrt3-\sqrt6)}=\frac{\sqrt9-\sqrt{18}}{3-6}=\frac{3-\sqrt{9*2}}{-3}=\frac{3-3\sqrt2}{-3}=-1+\sqrt2
odpowiedź A
Zadanie 19
3(\sqrt[4]3)^{12}=3*(3^{\frac{1}{4}})^{12}=3*3^3=3*27=81
Zadanie 24
\sqrt[4]{7-\sqrt{33}}*\sqrt[4]{7+\sqrt{33}}=\sqrt[4]{(7-\sqrt{33})(7+\sqrt{33})}=\sqrt[4]{7^2-(\sqrt{33})^2}=\sqrt[4]{49-33}=\sqrt[4]{16}=\sqrt[4]{2^4}=2