[tex]( \frac{2}{ \sqrt{2} } - \frac{3}{ \sqrt{3} } ) \times \sqrt{6} + ( \frac{3}{ \sqrt{18} } - \frac{10}{ \sqrt{75} } )( - \sqrt{6} ) \\ ( \frac{2 \sqrt{2} }{2} - \frac{3 \sqrt{3} }{3} ) \times \sqrt{6} + ( \frac{3}{3 \sqrt{2} } - \frac{10}{5 \sqrt{3} } )( - \sqrt{6} ) = \\ \frac{6 \sqrt{2} - 6 \sqrt{3} }{6} \times \sqrt{6} + ( \frac{3 \sqrt{2} }{9} - \frac{10 \sqrt{5} }{15} )( - \sqrt{6} ) = \\ 2 \sqrt{3} - 3 \sqrt{2} + ( \frac{ \sqrt{2} }{2} - \frac{2 \sqrt{3} }{3} ( - \sqrt{6} ) \\ 2 \sqrt{3} - 32 + \frac{3 \sqrt{2} - 4 \sqrt{3} }{6} \times ( - \sqrt{6} ) \\ 2 \sqrt{3} - 3 \sqrt{2} + ( - \sqrt{3} ) + 2 \sqrt{2} = \\ 2 \sqrt{3} - 3 \sqrt{2} - \sqrt{3} + 2 \sqrt{2} = \sqrt{3} - \sqrt{2} [/tex]
