Question

Решите пожааалуйста первый пример с дробями

Answer 1

Ответ:

Объяснение:

$\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}+\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}-\frac{\sqrt{5}+1}{\sqrt{5}-1}=\frac{(\sqrt{5}-\sqrt{3})^2+(\sqrt{5}+\sqrt{3})^2}{(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})}-\frac{\sqrt{5}+1}{\sqrt{5}-1}=\\=\frac{(5-2\sqrt{5}*\sqrt{3}+3)+(5+2\sqrt{5}*\sqrt{3}+3)}{5-3}-\frac{\sqrt{5}+1}{\sqrt{5}-1}=\frac{16}{2}-\frac{\sqrt{5}+1}{\sqrt{5}-1}=8-\frac{\sqrt{5}+1}{\sqrt{5}-1}=\\=\frac{8\sqrt{5}-8-\sqrt{5}-1}{\sqrt{5}-1}=\frac{7\sqrt{5}-9}{\sqrt{5}-1}$