Question

Rationalise the denominator of each of the following

`3/sqrt5`

Answer 1

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

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

`= (3sqrt5)/5`

Hence the given expression is simplified to `(3sqrt5)/5`