How do you multiply #sqrt[2] * sqrt[6]#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Tony B Jul 18, 2016 #2sqrt(3)# Explanation: Write as # sqrt(2)xxsqrt(2xx3)# Combining the roots #sqrt(2xx2xx3)-> sqrt(2^2xx3)# Take #2^2# outside the root #2sqrt(3)# 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 5811 views around the world You can reuse this answer Creative Commons License