How do you simplify #(1+ 2 sqrt(3)) /( 1+ sqrt(3))#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer P dilip_k Apr 23, 2016 #=(5-sqrt3)/2# Explanation: #=(2sqrt3+1)/(sqrt3+1)=(2sqrt3+1)/(sqrt3+1)xx(sqrt3-1)/(sqrt3-1)# #=(2sqrt3*sqrt3+sqrt3-2sqrt3-1)/(3-1)# #=(5-sqrt3)/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 4625 views around the world You can reuse this answer Creative Commons License