How do you rationalize the denominator and simplify #15/(sqrt6-1)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Binayaka C. Jul 15, 2016 #3(sqrt6+1)# Explanation: #15/(sqrt6-1)= (15(sqrt6+1))/((sqrt6-1)(sqrt6+1))=(15(sqrt6+1))/(6-1)=3(sqrt6+1)#[Ans] 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 1291 views around the world You can reuse this answer Creative Commons License