How do you simplify #4xsqrt3 (-3xsqrt2)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Don't Memorise May 13, 2015 #4xsqrt3 (-3xsqrt2) = (4*-3)(x*x)(sqrt3*sqrt2)# # = (-12)(x^2)(sqrt(3*2))# (Because #color(blue)(sqrta*sqrtb = sqrt(ab)# # =color(green)( -12x^2sqrt6# 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 1256 views around the world You can reuse this answer Creative Commons License