Question

How do you rationalize the denominator and simplify `(3sqrt2)/sqrt6`?

Answer 1

`= sqrt12 / 2`

Explanation:

`(3sqrt2) / sqrt6`

`= (3sqrt2 * color(blue)(sqrt6)) / (sqrt6 * color(blue)(sqrt6)`

`= (3 * sqrt2 * color(blue)(sqrt6)) / 6`

`= (3 sqrt12 ) / 6`

`= (cancel3 sqrt12 ) / cancel6`

`= sqrt12 / 2`