How do you simplify #(7-sqrt7)/(10+sqrt3)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Andrew012p Mar 28, 2018 See below Explanation: Given expression , #(7-sqrt7)/(10+sqrt3)# We get, # (7-sqrt7)/(10+sqrt3) * (10-sqrt3)/(10-sqrt3) =# # ((7-sqrt7)*(10-sqrt3))/(10^2-(sqrt3)^2)=# # (70-7sqrt3-10sqrt7+sqrt21)/97# 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 1296 views around the world You can reuse this answer Creative Commons License