How do you simplify (sqrt(3) - 1)/(1+sqrt(3))? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Aria Mar 15, 2018 2-sqrt(3) Explanation: (sqrt(3)-1)/(1+sqrt(3)=(-1+sqrt(3))/(1+sqrt(3)) = (-1+sqrt(3))/(1+sqrt(3)). (1-sqrt(3))/(1-sqrt(3)) = (-1+2sqrt(3)-3)/(1-3)= (2sqrt(3)-4)/(-2) = 2-sqrt(3) 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 27330 views around the world You can reuse this answer Creative Commons License