How do you simplify sqrt3 (4 + sqrt12)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Zor Shekhtman Jun 24, 2016 4sqrt(3)+6 Explanation: sqrt(3)*(4+sqrt(12)) = = 4sqrt(3)+sqrt(3)*sqrt(12) = = 4sqrt(3)+sqrt(3*12) = = 4sqrt(3)+sqrt(36) = = 4sqrt(3)+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 1389 views around the world You can reuse this answer Creative Commons License