How do you rationalize the denominator and simplify (18sqrt24)/(-3sqrt8)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Lucy Apr 14, 2018 -6sqrt3 Explanation: (18sqrt24)/(-3sqrt8) (18sqrt(6times4))/(-3sqrt(4times2)) (36sqrt6)/(-6sqrt2) (-6sqrt6)/sqrt2timessqrt2/sqrt2 (-6sqrt12)/2 (-6sqrt(3times4))/2 (-12sqrt3)/2 -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 1112 views around the world You can reuse this answer Creative Commons License