Answer 1

We know that rationalization factor for `1/sqrta` is `sqrta`. We will multiply numerator and denominator of the given expression `1/sqrt12` by `sqrt12` to get

`1/sqrt12 xx sqrt12/sqrt12 = sqrt12/(sqrt12 xx sqrt12)`

`= sqrt12/12`

`= (sqrt4 xx sqrt3)/12`

`= (2  xx  sqrt3) /12`

`= sqrt3/6`

Hence the given expression is simplified to `sqrt3/6`