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 2744 views around the world You can reuse this answer Creative Commons License