How do you multiply (2sqrt21)(3sqrt6)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer George C. Jun 19, 2015 (2sqrt(21))(3sqrt(6)) = 6sqrt(21*6) = 6sqrt(9*14) = 18sqrt(14) Explanation: (2sqrt(21))(3sqrt(6)) = 2*sqrt(21)*3*sqrt(6) =2*3*sqrt(21)*sqrt(6) =6*sqrt(21*6) =6*sqrt(9*14) =6*sqrt(9)*sqrt(14) =6*3*sqrt(14) =18sqrt(14) If a, b > 0 then sqrt(ab) = sqrt(a)sqrt(b) 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 1586 views around the world You can reuse this answer Creative Commons License