How do you simplify (10*sqrt8) /sqrt 16? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Leland Adriano Alejandro Feb 11, 2016 (10sqrt8)/sqrt16=5sqrt2 Explanation: (10sqrt8)/sqrt16=(10sqrt8)/4=(10sqrt(4*2))/4=(5*2*sqrt(4)*sqrt(2))/(2*2) =(5*2*2*sqrt(2))/(2*2) =(5*cancel2*cancel2*sqrt(2))/(cancel2*cancel2) =5sqrt2 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 1216 views around the world You can reuse this answer Creative Commons License