Question

Rationalise the denominator of the following 

`(3sqrt2)/sqrt5`

Answer 1

We know that rationalization factor for `1/sqrta` is `sqrta`.                   We will multiply numerator and denominator of the given expression `(3sqrt2)/sqrt5` by `sqrt5` to get

`(3sqrt2)/sqrt5  xx sqrt5/sqrt5 = (3sqrt2 xx sqrt5)/(sqrt5 xx sqrt5)`

`= (3sqrt10)/5`

Hence the given expression is simplified to `(3sqrt10)/5`.