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 1078 views around the world You can reuse this answer Creative Commons License