Zadanie Zapisz wynik bez niewymierności w mianowniku.
\frac{4}{\sqrt5-3}+\frac{1}{\sqrt5+2}
źródło:
\frac{4}{\sqrt5-3}+\frac{1}{\sqrt5+2}=\frac{4*(\sqrt5+3)}{(\sqrt5-3)(\sqrt5+3)}+\frac{\sqrt5-2}{(\sqrt5+2)(\sqrt5-2)}=
\frac{4(\sqrt5+3)}{5-9}+\frac{\sqrt5-2}{5-4}=\frac{4(\sqrt5+3)}{-4}+\frac{\sqrt5-2}{1}=-(\sqrt5+3)+\sqrt5-2=-\sqrt5-3+\sqrt5-2=-5