How do you rationalize the denominator and simplify #5/(4sqrta^3)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Barney V. Mar 3, 2018 #(5sqrt(a^3))/(4a^3)# Explanation: #5/(4sqrt(a^3))xx(4sqrt(a^3))/(4sqrt(a^3))# #:.sqrt(a^3)xxsqrt(a^3)=a^3# #:.(cancel20^5sqrt(a^3))/(cancel16^4a^3)# #:.(5sqrt(a^3))/(4a^3)# 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 1137 views around the world You can reuse this answer Creative Commons License