[tex]( \frac{2}{ \sqrt{2} } - \frac{3} { \sqrt{ 3} } )* \sqrt{6}+( \frac{ 3}{ 3\sqrt{ 2} } - \frac{10}{ 5\sqrt{3} } )- \sqrt{6} = \\ (rationalizezi 1 fractie cu \sqrt{2} si a 2 cu \sqrt{3} \\ si la a 2 paranteza cu \sqrt{2} si \sqrt{3} ) \\ ( \sqrt{2} + \sqrt{3} )* \sqrt{6} + (\frac{ \sqrt{2} }{2} - \frac{ 2\sqrt{3} }{3} )- \sqrt{ 6 } = \\ \sqrt{12} + \sqrt{18} + \frac{ \sqrt{ 2} -2 \sqrt{3} - \sqrt{6} }{ 2-3} = \\ 2 \sqrt{3} + 3\sqrt{2} - \sqrt{2} + 2\sqrt{3} + \sqrt{6} = \\ [/tex]