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 2045 views around the world You can reuse this answer Creative Commons License