Bu masalani hal qilish uchun maxrajni ratsionalizatsiya qilish uchun pay va maxrajni \(\sqrt x - 2\sqrt y \) ga ko'paytirishimiz kerak.

\[\frac{4}{{\sqrt x + 2\sqrt y }} = \frac{4}{{\sqrt x + 2\sqrt y }}\frac{{\sqrt x - 2\sqrt y }}{{\sqrt x - 2\sqrt y }} = \frac{{4\left( {\sqrt x - 2\sqrt y } \right)}}{{\left( {\sqrt x + 2\sqrt y } \right)\left( {\sqrt x - 2\sqrt y } \right)}} = \require{bbox} \bbox[2pt,border:1px solid black]{{\frac{{4\sqrt x - 8\sqrt y }}{{x - 4y}}}}\]