[tex](\frac{5}{2 \sqrt{6} } - \frac{1}{ \sqrt{24} } )* \sqrt{18} - \frac{ \sqrt{12}}{2} = \\ \\ (\frac{5}{2 \sqrt{6} } - \frac{1}{2 \sqrt{6} } )* \sqrt{3^{2}*2 } - \frac{ \sqrt{3* 2^{2}} }{2} = \\ \\ \frac{4}{2 \sqrt{6}} *3 \sqrt{2} - \frac{2 \sqrt{3}}{2} = \\ \\ \frac{6 \sqrt{2}}{ \sqrt{6} } - \sqrt3} = \\ \\ \frac{6 \sqrt{2} * \sqrt{6} }{6} - \sqrt{3} * \sqrt{6} = \\ \\ \sqrt{12}- \sqrt{18}= \\ \\ =2 \sqrt{3}-3 \sqrt{2} [/tex]
