Question

How do you simplify `18/(6+sqrt(27m))`?

Answer 1

`(2sqrt(3m)-4)/m`

Explanation:

`18/(6+(sqrt(27m))` = `18/((sqrt(27m)+6)`
Now `(sqrt(27m)-6)/(sqrt(27m)-6)` is 1 so multiple that to `18/((sqrt(27m)+6)`,
`18/((sqrt(27m)+6)`*`(sqrt(27m)-6)/(sqrt(27m)-6)` = `(54sqrt(3m)-108)/(27m)`
Now simplify

=`(2sqrt(3m)-4)/m`