How do you rationalize the denominator and simplify 5/(sqrt6-2)? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Gió · Jumbotron Aug 5, 2018 I tried this: Explanation: Let us multiply and divide by sqrt(6)+2: 5/(sqrt(6)-2)*color(red)((sqrt(6)+2)/(sqrt(6)+2)) =(5sqrt(6) + 10)/(6-4) =(5 sqrt(6)+10)/2 =5/2sqrt(6)+5 =5(sqrt(6)/2+1) 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 1693 views around the world You can reuse this answer Creative Commons License