How do you simplify 3 sqrt 12 * sqrt 6? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Jul 14, 2016 color(blue)(18sqrt(2)) Explanation: 3sqrt(12)*sqrt(6) color(white)("XXX")=3*sqrt(3xx2xx2)*sqrt(3xx2) color(white)("XXX")=3*sqrt(3^2xx2^2xx2) color(white)("XXX")=3*3*2*sqrt(2) color(white)("XXX")=18sqrt(2) 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 5213 views around the world You can reuse this answer Creative Commons License