How do you simplify #3sqrt3*sqrt2#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Apr 29, 2015 Note that #sqrt(a)*sqrt(b) = sqrt(a*b)# #3sqrt(3) * sqrt(2)# #= (3 * sqrt(3)) * sqrt(2)# #=3*(sqrt(3) * sqrt(2))# #= 3 * sqrt(6)# #= 3sqrt(6)# 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 1322 views around the world You can reuse this answer Creative Commons License