How do you simplify 18/(6+sqrt(27m))186+27m?

1 Answer
Apr 12, 2018

(2sqrt(3m)-4)/m23m4m

Explanation:

18/(6+(sqrt(27m))186+(27m) = 18/((sqrt(27m)+6)18(27m+6)
Now (sqrt(27m)-6)/(sqrt(27m)-6)27m627m6 is 1 so multiple that to 18/((sqrt(27m)+6)18(27m+6),
18/((sqrt(27m)+6)18(27m+6)*(sqrt(27m)-6)/(sqrt(27m)-6)27m627m6 = (54sqrt(3m)-108)/(27m)543m10827m
Now simplify

=(2sqrt(3m)-4)/m23m4m