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 1501 views around the world You can reuse this answer Creative Commons License