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 1474 views around the world You can reuse this answer Creative Commons License