[tex] \frac{5 - \sqrt{2} }{ \sqrt{3} } \\ \\ = \frac{5 - \sqrt{2} }{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ \\ = \frac{(5 - \sqrt{2} ) \sqrt{3} }{( { \sqrt{3} )}^{2} } \\ \\ = \frac{5 \sqrt{3} - \sqrt{6} }{3} [/tex]