How do you simplify #sqrt3(sqrt7+3sqrt2)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Sonnhard Jun 8, 2018 #sqrt(21)+3sqrt(6)# Explanation: Expanding #sqrt(3)sqrt(7)+3sqrt(2)*sqrt(3)=sqrt(21)+3sqrt(6)# Using #sqrt(a)*sqrt(b)=sqrt(ab)# for #a,b>=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 1151 views around the world You can reuse this answer Creative Commons License