Упр.103 Вариант 2 Дидактические материалы ГДЗ Мерзляк Полонский 8 класс (Алгебра)

$$\frac{x^2-13}{x-\sqrt{13}}=\frac{(x-\sqrt{13})(x+\sqrt{13})}{x-\sqrt{13}}=x+\sqrt{13}.$$

$$\frac{\sqrt{x}+11}{x-121}=\frac{\sqrt{x}+11}{(\sqrt{x}-11)(\sqrt{x}+11)}=\frac{1}{\sqrt{x}-11}.$$

$$\frac{b-5\sqrt{b}}{b-25}=\frac{\sqrt{b}(\sqrt{b}-5)}{(\sqrt{b}-5)(\sqrt{b}+5)}=\frac{\sqrt{b}}{\sqrt{b}+5}.$$

$$\frac{15+\sqrt{15}}{\sqrt{15}}=\frac{\sqrt{15}(\sqrt{15}+1)}{\sqrt{15}}=\sqrt{15}+1.$$

$$\frac{x+16\sqrt{x}+64}{x-64}=\frac{(\sqrt{x}+8)^2}{(\sqrt{x}-8)(\sqrt{x}+8)}=\frac{\sqrt{x}+8}{\sqrt{x}-8}.$$

$$\frac{5-\sqrt{10}}{\sqrt{10}-2}=\frac{\sqrt{5}(\sqrt{5}-\sqrt{2})}{\sqrt{2}(\sqrt{5}-\sqrt{2})}=\frac{\sqrt{5}}{\sqrt{2}}=\sqrt{\frac{5}{2}}.$$