Question

Rationalise the denominator of the following

`(sqrt3 + 1)/sqrt2`

Answer 1

We know that rationalization factor for `1/sqrta` is `sqrta`.We will multiply numerator and denominator of the given expression `(sqrt3 + 1)/sqrt2` by `sqrt2` to get

`(sqrt3 + 1)/sqrt2 xx sqrt2/sqrt2 = (sqrt2 xx sqrt3 + sqrt2)/(sqrt2 xx sqrt2)`

`= (sqrt6 + sqrt2)/2`

Hence the given expression is simplified to `(sqrt6 + sqrt2)/2`