How do you simplify sqrt3(sqrt7+3sqrt2)√3(√7+3√2)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Sonnhard Jun 8, 2018 sqrt(21)+3sqrt(6)√21+3√6 Explanation: Expanding sqrt(3)sqrt(7)+3sqrt(2)*sqrt(3)=sqrt(21)+3sqrt(6)√3√7+3√2⋅√3=√21+3√6 Using sqrt(a)*sqrt(b)=sqrt(ab)√a⋅√b=√ab for a,b>=0a,b≥0 Answer link Related questions How do you simplify \frac{2}{\sqrt{3}}2√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)73√5? How do you multiply (sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))(√a+√b)(√a−√b)? How do you rationalize the denominator for \frac{2x}{\sqrt{5}x}2x√5x? Do you always have to rationalize the denominator? How do you simplify sqrt(5)sqrt(15)√5√15? How do you simplify (7sqrt(13) + 2sqrt(6))(2sqrt(3)+3sqrt(6))(7√13+2√6)(2√3+3√6)? See all questions in Multiplication and Division of Radicals Impact of this question 1253 views around the world You can reuse this answer Creative Commons License