How do you simplify #sqrt(10x)*sqrt(5x^3)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Don't Memorise Jul 9, 2015 #=color(blue)(5x^2sqrt(2 )# Explanation: #sqrt(10x) * sqrt(5x^3)# #=sqrt(10x * 5x^3# #=sqrt(50 * x^4# #=sqrt(color(blue)((5 * 5)) * 2 * color(blue)((x^2 * x^2)# #=color(blue)(5x^2sqrt(2 )# 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 2164 views around the world You can reuse this answer Creative Commons License