(3*sqrt(2\3)-sqrt(24)+sqrt(6))(2*sqrt(2\3)+3*sqrt(2\3))

[latex]3 \sqrt{ \frac{2}{3} } - \sqrt{24} + \sqrt{6} *(2 \sqrt{ \frac{2}{3} } +3 \sqrt{ \frac{2}{3} } [/latex] = =[latex] \sqrt{ \frac{9*2}{3} } -2 \sqrt{6} + \sqrt{6} *5 \sqrt{ \frac{2}{3} } =[/latex] = [latex] \sqrt{6} -2 \sqrt{6} +5 \sqrt{ \frac{6*2}{3} } =- \sqrt{6} +5*2=[/latex] =[latex]- \sqrt{6} +5*2 = 10 - \sqrt{6} [/latex]