How do you simplify #5/(8+sqrt7)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Binayaka C. Aug 22, 2016 #1/57(40-5sqrt7)# Explanation: #5/(8+sqrt7) = (5(8-sqrt7))/((8+sqrt7)(8-sqrt7))=(40-5sqrt7)/(64-7)=1/57(40-5sqrt7)#[Ans] 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 910 views around the world You can reuse this answer Creative Commons License