How do you simplify #(5+sqrt 3)(4-2sqrt3)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Roopali · Stefan V. Apr 16, 2018 #14 - 6sqrt3# Explanation: Distribute the parentheses #5*4 + 5(-2sqrt3) + sqrt(3) * 4 + sqrt(3)(-2sqrt3)# #20 - 10sqrt3 + 4sqrt3 - 6# #14 - 6sqrt3 # 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 1351 views around the world You can reuse this answer Creative Commons License