How do you simplify 5sqrt3(sqrt3-2)+sqrt3(7-sqrt3)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer CW Sep 1, 2016 12-3sqrt3 Explanation: 5sqrt3(sqrt3-2)+sqrt3(7-sqrt3) =5sqrt3^2-5sqrt3xx2+7sqrt3-sqrt3^2 =5xx3-10sqrt3+7sqrt3-3 =15-10sqrt3+7sqrt3-3 =12-3sqrt3 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 1191 views around the world You can reuse this answer Creative Commons License