Banuiesc ca asta e ecuatia la care te referi ( daca nu, adauga niste paranteze pe acolo ca sa o exemplifici)
[tex] \frac{ \sqrt{10} }{ \sqrt{10}+ \sqrt{6}} +\frac{ \sqrt{6} }{ \sqrt{10}- \sqrt{6}} [/tex]
Daca este asta trebuie sa inmultesti cu conjugatele numitorilor ambii termeni
[tex] \frac{ \sqrt{10} ( \sqrt{10} - \sqrt{6} )}{(\sqrt{10} + \sqrt{6})(\sqrt{10} - \sqrt{6})} + \frac{ \sqrt{6} ( \sqrt{10} +\sqrt{6} )}{(\sqrt{10} + \sqrt{6})(\sqrt{10} - \sqrt{6})}[/tex]
[tex]= \frac{ \sqrt{10} ( \sqrt{10} - \sqrt{6} )+ \sqrt{6} ( \sqrt{10} + \sqrt{6} )}{10-6} [/tex][tex]= \frac{10- \sqrt{6} \sqrt{10}+ \sqrt{6} \sqrt{10} +6 }{4} = \frac{16}{4} = 4[/tex]
