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 26133 views around the world You can reuse this answer Creative Commons License