How do you simplify √2 ( 3 + 3√2 )? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Oct 7, 2015 #3sqrt(2)+6# Explanation: #sqrt(2)(3+3sqrt(2))# Using the distributive property: #=sqrt(2)*3 + sqrt(2)*3sqrt(2)# #=3sqrt(2) + 3*(sqrt(2))^2# #=3sqrt(2)+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 1784 views around the world You can reuse this answer Creative Commons License