Usuń niewymierność z mianownika
\frac{\sqrt2}{2\sqrt5-2}
\frac{\sqrt2}{2\sqrt5-2}=\frac{\sqrt2}{2\sqrt5-2}*\frac{2\sqrt5+2}{2\sqrt5+2}=
=\frac{2\sqrt{10}+2\sqrt2}{20-2}=\frac{2(\sqrt{10}+\sqrt2)}{18}=
=\frac{\sqrt{10}+\sqrt2}{9}