Question

How do you simplify `root3 2/root3 6`?

Answer 1

`root3(2)/root3(6)=root3(3^2)/3=root3(9)/3`

Explanation:

`root3(2)/root3(6)=root3(cancel(2)^color(magenta)1/cancel(6)^color(magenta)3)=root3(1/3)=1/root3(3)`

Now the radical is in a form that could be rationalized

`1/root3(3)=1/root3(3)*root3(3^2)/root3(3^2)=root3(3^2)/3`