How do you simplify (6-sqrt(20))/2? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Bill K. Oct 17, 2015 3-sqrt(5) Explanation: Since sqrt(20)=sqrt(4*5)=sqrt(4)*sqrt(5)=2sqrt(5), we can write (6-sqrt(20))/2=(6-2sqrt(5))/2=(cancel(2)(3-sqrt(5)))/cancel(2)=3-sqrt(5) 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 3229 views around the world You can reuse this answer Creative Commons License