How do you simplify #2sqrt3(4sqrt5 - 3sqrt20 - sqrt45)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer José F. Apr 19, 2016 #-10sqrt(15)# Explanation: #2sqrt(3)(4sqrt(5)-3sqrt(20)-sqrt(45))=2sqrt(3)(4sqrt(5)-3sqrt(2^2xx5)-sqrt(3^2xx5))=2sqrt(3)(4sqrt(5)-3xx2sqrt(5)-3sqrt(5))=2sqrt(3)(4-6-3)sqrt(5)=2(-5)sqrt(3xx5)=-10sqrt(15)# 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 851 views around the world You can reuse this answer Creative Commons License