How do you simplify # (3-2sqrt2)/(1+sqrt2)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Gerardina C. Jul 25, 2016 #-7+5sqrt(2)# Explanation: you can multiply numerator and denominator by #1-sqrt(2)# #((3-2sqrt(2))(1-sqrt(2)))/((1+sqrt(2))(1-sqrt(2))# #(3-3sqrt(2)-2sqrt(2)+4)/(1-2)# #(7-5sqrt(2))/-1# #-7+5sqrt(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 1022 views around the world You can reuse this answer Creative Commons License