How do you simplify #5/(8+sqrt(7))#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Omar T. · Stefan V. Oct 22, 2015 #(40-5sqrt7)/57# Explanation: Original expression #5/(8+sqrt7)# Multiply by conjugate #5/(8+sqrt7)*(8-sqrt7)/(8-sqrt7)# combine #(5*(8 - sqrt7))/((8*8)-sqrt7*sqrt7)# Collect terms #(40-5sqrt7)/(64-7)# #rArr# #(40-5sqrt7)/(57)# #~~0.47# 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 1508 views around the world You can reuse this answer Creative Commons License