How do you simplify #3 sqrt 12 * sqrt 6#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Jul 14, 2016 #color(blue)(18sqrt(2))# Explanation: #3sqrt(12)*sqrt(6)# #color(white)("XXX")=3*sqrt(3xx2xx2)*sqrt(3xx2)# #color(white)("XXX")=3*sqrt(3^2xx2^2xx2)# #color(white)("XXX")=3*3*2*sqrt(2)# #color(white)("XXX")=18sqrt(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 4292 views around the world You can reuse this answer Creative Commons License