How do you simplify #(7+sqrt7)/(5-sqrt7)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer P dilip_k Apr 16, 2016 #(7+sqrt7)/(5-sqrt7)xx(5+sqrt7)/(5+sqrt7)=(42+12sqrt7)/(25-7)=6xx(7+2sqrt7)/18=1/3(7+2sqrt7)# 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 923 views around the world You can reuse this answer Creative Commons License