How do you simplify 18/(6+sqrt(27m))? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer DaveedSaysHI 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 Answer link Related questions How do you simplify \frac{2}{\sqrt{3}}? How do you multiply and divide radicals? How do you rationalize the denominator? What is Multiplication and Division of Radicals? How do you simplify 7/(""^3sqrt(5)? How do you multiply (sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))? How do you rationalize the denominator for \frac{2x}{\sqrt{5}x}? Do you always have to rationalize the denominator? How do you simplify sqrt(5)sqrt(15)? How do you simplify (7sqrt(13) + 2sqrt(6))(2sqrt(3)+3sqrt(6))? See all questions in Multiplication and Division of Radicals Impact of this question 1966 views around the world You can reuse this answer Creative Commons License