How do you multiply #(5sqrt(3) - 2sqrt(2))*(-3sqrt(3) + 3sqrt(3))#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Sep 24, 2015 #color(red)((5sqrt(3)-2sqrt(2)))*color(blue)((-3sqrt(3)+3sqrt(3))) = color(green)(0)# Explanation: #color(blue)(-3sqrt(3)+3sqrt(3) = 0)# #color(red)((5sqrt(3)-2sqrt(2)))*(color(blue)(0)) = color(green)(0)# 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 1296 views around the world You can reuse this answer Creative Commons License