3căn2 + 2căn3/căn2+căn3 -2/căn6 -2

Đáp án+Giải thích các bước giải:

`(3sqrt2+2sqrt3)/(sqrt2+sqrt3)-2/(sqrt6-2)`

`=((3sqrt2+2sqrt3)(sqrt2-sqrt3))/((sqrt2+sqrt3)(sqrt2-sqrt3))-(2(sqrt6+2))/((sqrt6-2)(sqrt6+2))`

`=(6-3sqrt6+2sqrt6-6)/((sqrt2)^2-(sqrt3)^2)-(2(sqrt6+2))/((sqrt6)^2-2^2)`

`=(-sqrt6)/(2-3)-(2(sqrt6+2))/(6-4)`

`=(-sqrt6)/(-1)-(2(sqrt6+2))/2`

`=sqrt6-sqrt6-2`

`=-2`

--------------------------

`3sqrt2+(2sqrt3)/sqrt2+sqrt3-2/(sqrt6-2)`

`=3sqrt2+(2sqrt3 .sqrt2)/(sqrt2 .sqrt2)+sqrt3-(2(sqrt6+2))/((sqrt6-2)(sqrt6+2))`

`=3sqrt2+(2sqrt6)/2+sqrt3-(2(sqrt6+2))/((sqrt6)^2-2^2)`

`=3sqrt2+sqrt6+sqrt3-(2(sqrt6+2))/(6-4)`

`=3sqrt2+sqrt6+sqrt3-(2(sqrt6+2))/2`

`=3sqrt2+sqrt6+sqrt3-sqrt6-2`

`=3sqrt2+sqrt3-2`

`#ld`