How do you simplify (4+ sqrt8)(4- sqrt8)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Deepak G. Aug 22, 2016 =8 Explanation: (a+b)(a-b)=a^2-b^2 Similarly (4+sqrt8)(4-sqrt8) =4^2-(sqrt8)^2 =16-8 =8 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 1111 views around the world You can reuse this answer Creative Commons License