Question

Question #f8afb

Answer 1

`2/(3sqrt3)`

Explanation:

Looking at `sqrt(4/27)` we can rewrite this as `sqrt4/sqrt27` and immediately notice that the `sqrt4` is `2`. So we can rewrite as `2/sqrt27`

Looking at `sqrt27` is not a perfect square but it can be further simplified if we break up `27` into its factors. So...

`sqrt27=sqrt(9*3)=sqrt9*sqrt3`

We notice that the `sqrt9` is `3` and can rewrite the `sqrt27` as `3sqrt3`. We can't simplify `sqrt3` however as it is not a perfect square so in summary,

`sqrt(4/27)=2/(3sqrt3)`