How do you rationalize the denominator and simplify (2sqrt7 - 4sqrt2)/( 2sqrt3)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Dee Apr 17, 2017 (sqrt(21)-2*sqrt(6))/3 Explanation: (2sqrt(7)-4sqrt(2))/(2*sqrt(3)) =(2sqrt(7)-4sqrt(2))/(2*sqrt(3)) *sqrt(3)/sqrt(3) =2(sqrt(7*3)-2sqrt(2*3))/(2*3) 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 1553 views around the world You can reuse this answer Creative Commons License