How do you simplify 3/(5-sqrt3)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Barney V. Mar 20, 2018 (3(5+sqrt 3))/22 Explanation: 3/(5-sqrt 3) :.=3/(5-sqrt 3)xx(5+sqrt 3)/(5+sqrt 3) :.=(3(5+sqrt 3))/((5-sqrt3)(5+sqrt3)) :.=sqrt 3xxsqrt 3=3 :.=(3(5+sqrt 3))/22 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 2505 views around the world You can reuse this answer Creative Commons License