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

1 Answer
Apr 12, 2018

(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