How do you simplify sqrt 10(4+sqrt 5)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Farzana H. Sep 29, 2015 4sqrt(10)+5sqrt(2) Explanation: sqrt(10)*(4+sqrt(5)) =4*sqrt(10)+sqrt(5)*sqrt(10) =4*sqrt(10)+sqrt(5*10) =4*sqrt(10)+sqrt(5*5*2) =4*sqrt(10)+sqrt(5^2*2) =4sqrt(10)+5sqrt(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 3861 views around the world You can reuse this answer Creative Commons License