How do you rationalize the denominator and simplify #(sqrt(11)-sqrt(2))/(sqrt(11)+sqrt(2))#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Lucy Apr 3, 2018 #(13-2sqrt22)/9# Explanation: #(sqrt11-sqrt2)/(sqrt11+sqrt2)# =#(sqrt11-sqrt2)/(sqrt11+sqrt2)times (sqrt11-sqrt2)/(sqrt11-sqrt2)# =#((11-2sqrt22+2)/(11-2))# =#(13-2sqrt22)/9# 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 11084 views around the world You can reuse this answer Creative Commons License