Calculati :

[tex]( \frac{2}{ \sqrt{3} } + \frac{3}{ \sqrt{2} } ) \times \sqrt{6} - ( \frac{1}{ \sqrt{12} } - \frac{1}{ \sqrt{8} } ) \times \sqrt{24} = \\ \\ \frac{ \sqrt{2} - \sqrt{5} }{ \sqrt{10} } + \frac{ \sqrt{6} - \sqrt{3} }{ \sqrt{12} } - \frac{2 - \sqrt{5} }{ \sqrt{20} } = \\ \\ \frac{ \sqrt{2} - \sqrt{3} }{ \sqrt{6} } + \frac{ \sqrt{3} - \sqrt{4} }{ \sqrt{12} } + \frac{ \sqrt{4} - \sqrt{5} }{ \sqrt{20} } + \frac{ \sqrt{5} - \sqrt{6} }{ \sqrt{30} } = \\ \\ \frac{ \sqrt{20} ( \sqrt{3} + 1)}{2} - \frac{ \sqrt{27} ( \sqrt{5} + 2) }{3} = [/tex]