How do you rationalize the denominator #sqrt(5/8)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Martin C. May 1, 2018 #sqrt(40)/8=sqrt(10)/4# Explanation: #sqrt(5/8)=sqrt(5)/sqrt(8)=(sqrt(5)*sqrt(8))/(sqrt(8)*sqrt(8))=sqrt(40)/8=2*sqrt(10)/8=sqrt(10)/4# 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 3706 views around the world You can reuse this answer Creative Commons License