How do you simplify #sqrt(1+x)/ sqrt(1-x)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Mar 12, 2018 #sqrt(1+x)/sqrt(1-x)=sqrt(1-x^2)/(1-x)# Explanation: #sqrt(1+x)/(sqrt(1-x)# #color(white)("XXX")sqrt(1+x)/sqrt(1-x) xx sqrt(1-x)/sqrt(1-x)# #color(white)("XXX")=sqrt(1-x^2)/(1-x)# 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 1328 views around the world You can reuse this answer Creative Commons License