What is (the square root of 7)- 5/(the square root of 2) + 5? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer sankarankalyanam Jun 20, 2018 #=> -(26 + sqrt14 - 5sqrt2 - 5sqrt7 )/23# Explanation: #(sqrt7 - 5) / (sqrt2 + 5)# #=> ((sqrt7 - 5)(sqrt2 - 5)) / ((sqrt2 + 5) (sqrt2 - 5))# #=> (sqrt14 - 5sqrt2 - 5sqrt7 + 25) / (2 - 25)# #=> -(26 + sqrt14 - 5sqrt2 - 5sqrt7 )/23# 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 1265 views around the world You can reuse this answer Creative Commons License