Răspuns:
[tex]\frac{10}{3}[/tex]
Explicație pas cu pas:
[tex]x=\sqrt{3} \\y=\frac{1}{\sqrt{3}}[/tex]
[tex]\frac{x}{y}[/tex] = [tex]\frac{\sqrt{3}}{\frac{1}{\sqrt{3}}}=\sqrt{3}:\frac{1}{\sqrt{3}}=\sqrt{3}*\sqrt{3}=3[/tex]
[tex]\frac{y}{x}[/tex] = [tex]\frac{\frac{1}{\sqrt{3}}}{\sqrt{3}}=\frac{1}{\sqrt{3}}:\sqrt{3}=\frac{1}{\sqrt{3}}*\frac{1}{\sqrt{3}}=\frac{1}{3}[/tex]
[tex]\frac{x}{y}+\frac{y}{x}=\frac{3}{1}+\frac{1}{3}=\frac{9}{3}+\frac{1}{3}=\frac{10}{3}[/tex]
