Question

How do you simplify the radical expression by rationalizing the denominator `2/sqrt30`?

Answer 1

`sqrt30/15`

Explanation:

Rationalize `2/sqrt30`

Multiply by `sqrt30/sqrt30` (which equals one).

`2/sqrt30 * sqrt30/sqrt30 =(2sqrt30)/sqrt900 =(2sqrt30)/30`

The fraction `2/30 = 1/15`, so...

`(2sqrt30)/30=(1sqrt30)/15=sqrt30/15`

The square root of `30` cannot be further simplified because it has no factors which are perfect squares.