How do you simplify 3 / (sqrt6 -sqrt3)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Deepak G. Aug 1, 2016 =sqrt6+sqrt3 Explanation: 3/(sqrt6-sqrt3) Multiplying numerator and denominator by (sqrt6+sqrt3) we get 3(sqrt6+sqrt3)/((sqrt6+sqrt3)(sqrt6-sqrt3) =3(sqrt6+sqrt3)/(6-3) =3(sqrt6+sqrt3)/3 =sqrt6+sqrt3 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 953 views around the world You can reuse this answer Creative Commons License