How do you simplify sqrt(2c^2)*sqrt(8c)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Hriman Apr 16, 2018 4|c|sqrtc Explanation: Note that: sqrta*sqrtb= sqrt(ab) So: sqrt(2c^2)(8c)= sqrt(2c^2*8c) Therefore: sqrt(16c^3) sqrt(16c^2*c) 4|c|sqrtc 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 1607 views around the world You can reuse this answer Creative Commons License