Question

Trục căn thức ở mẫu

Answer 1

Rút gọn lun

 

Answer 2

`1/[\sqrt{3}+\sqrt{2}+1]`

`=1/[(\sqrt{3}+\sqrt{2})+1]`

`=[\sqrt{3}+\sqrt{2}-1]/[3+2+2\sqrt{6}-1]`

`=[\sqrt{3}+\sqrt{2}-1]/[4+2\sqrt{6}]`

`=[(\sqrt{3}+\sqrt{2}-1)(4-2\sqrt{6})]/[16-24]`

`=[4\sqrt{3}-6\sqrt{2}+4\sqrt{2}-4\sqrt{3}-4+2\sqrt{6}]/[-8]`

`=[-2\sqrt{2}+2\sqrt{6}-4]/[-8]`

`=[\sqrt{2}-\sqrt{6}+2]/4`