What is the # sqrt(90 a^5 b^7)divsqrt (10 a^3 b^4)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Farzana H. Sep 27, 2015 #3*a*b*sqrt(b)# Explanation: #(sqrt(9*10*a^3*a^2*b^3*b^4))/(sqrt(10*a^3*b^4))# =#3*a(sqrt(10*a^3*b^4)*(sqrt(b^2 *b)))/(sqrt(10*a^3*b^4))# =#3*a*b*sqrt(b)# 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 1680 views around the world You can reuse this answer Creative Commons License