How do you simplify #(5sqrt54)/(15sqrt2)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer john e. May 9, 2018 #sqrt3# Explanation: #sqrt54/(3sqrt2)# #(sqrt(2*3*9)*sqrt2)/6# #(3sqrt(6)*sqrt2)/6# #(sqrt(6)*sqrt2)/2# #(sqrt(2*3)*sqrt2)/2# #(2sqrt3)/2# #sqrt3# 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 1593 views around the world You can reuse this answer Creative Commons License