Question

Rationalise the denominator of the following

`sqrt2/sqrt5`

Answer 1

We know that rationalization factor for `1/sqrta ` is `sqrta`. We willmultiply numerator and denominator of the given expression `sqrt2/sqrt5` by `sqrt5`, to get

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

`= sqrt10/5`

Hence the given expression is simplified to `sqrt10/5`