Question

How do you simplify `3/(sqrt(5x)-3)`?

Answer 1

`(3sqrt(5x )+9)/(5x-9)`

Explanation:

It is not good practice to have a radical in the denominator - we get rid of it by "rationalising the denominator"

`3/(sqrt(5x) -3) xx (sqrt(5x) +3)/(sqrt(5x) +3) = (3(sqrt(5x)+3))/(sqrt(5x)^2 - 3^2)`

=`(3sqrt(5x )+9)/(5x-9)`