How do you simplify 2sqrt3 * 4sqrt2? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer LM Mar 10, 2018 8sqrt6 Explanation: 2sqrt3 * 4sqrt2 = (2*4) * (sqrt3 * sqrt2) sqrta * sqrtb = sqrt(a*b) (law of indices) sqrt3 * sqrt2 = sqrt6 2 * 4 = 8 2sqrt3 * 4sqrt2 = 8sqrt6 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 1301 views around the world You can reuse this answer Creative Commons License