Thực hiện phép tính $\frac{2}{\sqrt{5}-\sqrt{3}}$ + $\frac{3}{\sqrt{6}+\sqrt{3}}$ $\frac{3}{2\sqrt{2}-3\sqrt{3}}$+$\frac{3}{2\sqrt{2}+3\sqrt{3}}$ mog mn giúp em ạ ai gth rõ ràng sẽ đc bình chọn ctrhn ạ

`2/(sqrt{5}-sqrt{3})+3/(sqrt{6}+sqrt{3})`

`=(2(sqrt{5}+sqrt{3}))/((sqrt{5}-sqrt{3})(sqrt{5}+sqrt{3}))+(3(sqrt{6}-sqrt{3}))/((sqrt{6}-sqrt{3})(sqrt{6}+sqrt{3}))`

`=(2sqrt{5}+2sqrt{3})/2+(3sqrt{6}-3sqrt{3})/3`

`=(2(sqrt{5}+sqrt{3}))/2+(3(sqrt{6}-sqrt{3}))/3`

`=sqrt{5}+sqrt{3}+sqrt{6}-sqrt{3}`

`=sqrt{5}+sqrt{6}`

`3/(2sqrt{2}-3sqrt{3})+3/(2sqrt{2}+3sqrt{3})`

`=(3(2sqrt{2}+3sqrt{3}))/((2sqrt{2}-3sqrt{3})(2sqrt{2}+3sqrt{3}))+(3(2sqrt{2}-3sqrt{3}))/((2sqrt{2}-3sqrt{3})(2sqrt{2}+3sqrt{3}))`

`=(6sqrt{2}+9sqrt{3}+6sqrt{2}-9sqrt{3})/((2sqrt{2})^2-(3sqrt{3})^2)`

`=(12sqrt{2})/(8-27)`

`=-(12sqrt{2})/19`