How do you rationalize the denominator and simplify 3/(sqrtx+2-sqrtx)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Oct 3, 2015 Rearrange the denominator and simplify to get color(white)("XXX")3/2 Explanation: 3/(sqrt(x)+2-sqrt(x)) = 3/(color(blue)(sqrt(x)-sqrt(x))+2) = 3/(color(blue)(0)+2)= 3/2 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 1382 views around the world You can reuse this answer Creative Commons License