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 1440 views around the world You can reuse this answer Creative Commons License