How would you simplify sqrt6 * sqrt2? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Sheffy Apr 27, 2016 2sqrt3 Explanation: We can write the numbers as sqrt(2xx3)xxsqrt2 =sqrt2 xx sqrt3 xx sqrt2 Here, color(red)( sqrt2xxsqrt2=sqrt(2xx2)=2) =2xxsqrt3 =2sqrt3 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 4781 views around the world You can reuse this answer Creative Commons License