[tex] \frac{2 \sqrt{3} }{3} + \frac{3 \sqrt{2} }{2} * \sqrt{6} -( \frac{ \sqrt{3} }{6}+ \frac{ \sqrt{2} }{2})*2 \sqrt{6} [/tex]
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[tex]( \frac{4 \sqrt{3}+9 \sqrt{2} }{6})* \sqrt{6}-( \frac{ \sqrt{3}+3 \sqrt{2} }{6} )*2 \sqrt{6} =[/tex]
[tex] \frac{4 \sqrt{18}+9 \sqrt{12} -2 \sqrt{18}-6 \sqrt{12} }{6} =[/tex]
·[tex] \frac{2 \sqrt{18} +3 \sqrt{12} }{6} = \frac{6( \sqrt{2}+ \sqrt{3}) }{6} = \sqrt{2} + \sqrt{3} [/tex]