How do you rationalize the denominator and simplify root3(3/(2x))? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Oct 7, 2015 Multiply by ((root(3)(2x))^2)/((root(3)(2x))^2) to get (root(3)(12x^2))/(2x Explanation: root(3)(3/(2x)) color(white)("XXX)=root(3)((3/(2x)))*((root(3)(2x))^2)/((root(3)(2x))^2) color(white)("XXX)=(root(3)(3) * root(3)(4x^2))/(root(3)(2x) * (root(3)(2x))^2) color(white)("XXX)=(root(3)(12x^2))/(2x) 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 1398 views around the world You can reuse this answer Creative Commons License