[tex]n=\frac{5\sqrt{3}}{\sqrt{8}}:\sqrt{3}+\frac{3\sqrt{3}}{5\sqrt{2}}:\sqrt{3}-\frac{7\sqrt{3}}{\sqrt{2}}:\sqrt{3}[/tex]
[tex]=\frac{5}{2\sqrt{2}}+\frac{3}{5\sqrt{2}}-\frac{7}{\sqrt{2}}[/tex]
[tex]=\frac{\frac{5}{2}}{\sqrt{2}}+\frac{\frac{3}{5}}{\sqrt{2}}-\frac{7}{\sqrt{2}}[/tex]
[tex]=\frac{\frac{5}{2}+\frac{3}{5}-7}{\sqrt{2}}[/tex]
[tex]=\frac{\frac{25}{10}+\frac{6}{10}-\frac{70}{10}}{\sqrt{2}}[/tex]
[tex]=\frac{\frac{-31}{10}}{\sqrt{2}}[/tex]
[tex]n\sqrt{2}=\frac{(-\frac{31}{10})\sqrt{2}}{\sqrt{2}}=-\frac{31}{10}=-3,1[/tex]
[-3,1] = -4
