(sqrt3-sqrt2)*qwrt72/3(2sqwrt6-sqrt16)(^3sqrt64+1)

[latex](sqrt3-sqrt2)*frac{sqrt{72}}{3(2sqrt6-sqrt16)}(sqrt[3]{64}+1)=[/latex] [latex]=(sqrt3-sqrt2)*frac{sqrt{36*2}}{3(2sqrt6-4)}(4+1)=(sqrt3-sqrt2)*frac{sqrt{36}*sqrt2}{6(sqrt6-2)}}*5=[/latex] [latex](sqrt3-sqrt2)*frac{sqrt{36}*sqrt2}{6(sqrt6-2)}}*5=(sqrt3-sqrt2)*frac{6*sqrt2}{6(sqrt3*sqrt2-(sqrt2)^2)}}*5=[/latex] [latex]=(sqrt3-sqrt2)*frac{sqrt2}{sqrt2(sqrt3-sqrt2)}}*5=5[/latex]       ///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////