[tex] \frac{\sqrt{3} x^{2}}{2x-2 \sqrt{2} }* \frac{ \sqrt{2}x-2 }{3 x^{3} }= \frac{\sqrt{3} x^{2}}{2x-2 \sqrt{2} } * \frac{ \sqrt{2} ( \sqrt{2}x-2) }{3 x^{3} \sqrt{2} } = \frac{\sqrt{3} x^{2}}{2x-2 \sqrt{2} }* \frac{2x-2 \sqrt{2} }{{3 x^{3} \sqrt{2} } }= \frac{ \sqrt{3} }{3 \sqrt{2} x}= [/tex]=[tex] \frac{ \sqrt{3} \sqrt{2} }{3 \sqrt{2} \sqrt{2} } x= \frac{ \sqrt{6} }{6x}. [/tex]