How do you rationalize the denominator and simplify #14/ (sqrt7-sqrt5)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Serpin A. Mar 27, 2016 # 7sqrt7 + 7sqrt5# Explanation: You can multiply #sqrt7 - sqrt5# with #sqrt7 + sqrt5# which would result in 2. So you would have; # (14 × (sqrt7 + sqrt5)) / 2# 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 1548 views around the world You can reuse this answer Creative Commons License