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 1028 views around the world You can reuse this answer Creative Commons License