pierwiastek z 3 + 1 / pierwiastek z 3 - 1
\frac{\sqrt3+1}{\sqrt3-1}=
=\frac{\sqrt3+1}{\sqrt3-1} *\frac{\sqrt3+1}{\sqrt3-1}=
=\frac{3+\sqrt3+\sqrt3+1}{(\sqrt3)^2-1^2}=\frac{4+2\sqrt3}{3-1}=
=\frac{2(2+\sqrt3)}{2}=2+\sqrt3