How do you express (sqrt3+sqrt5)(sqrt3+sqrt5) in simplest radical form? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Richard Mar 9, 2018 =(8+2sqrt15) Explanation: Use FOIL (FIRST OUTER INNER LAST) =(sqrt3+sqrt5)*(sqrt3+sqrt5) =(3+sqrt15+sqrt15+5) =(8+2sqrt15) 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 2292 views around the world You can reuse this answer Creative Commons License