How do you simplify 5/(8+sqrt(7))? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Omar T. ยท Stefan V. Oct 22, 2015 (40-5sqrt7)/57 Explanation: Original expression 5/(8+sqrt7) Multiply by conjugate 5/(8+sqrt7)*(8-sqrt7)/(8-sqrt7) combine (5*(8 - sqrt7))/((8*8)-sqrt7*sqrt7) Collect terms (40-5sqrt7)/(64-7) rArr (40-5sqrt7)/(57) ~~0.47 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 1660 views around the world You can reuse this answer Creative Commons License