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 4792 views around the world You can reuse this answer Creative Commons License