How do you simplify #3sqrt14*7sqrt6#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. May 27, 2015 #3sqrt(14) * 7sqrt(6)# #=3 * sqrt(7) * sqrt(2) * 7 sqrt(3) * sqrt(2)# #= (3 * 7) * (sqrt(2) * sqrt(2)) * (sqrt(7) * sqrt(3))# #=42sqrt(21)# 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 1026 views around the world You can reuse this answer Creative Commons License