How do you simplify and rationalize the denominator #(sqrt(21/7)) * (sqrt(21/32))#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer Alan P. Apr 22, 2015 #(sqrt(21/7))*(sqrt(21/32))# #=sqrt(3)* (sqrt(3)*sqrt(7))/(4sqrt(2))# #= (3sqrt(7))/(4sqrt(2))# #= (3sqrt(7))/(4sqrt(2))* (sqrt(2))/(sqrt(2))# #= (3sqrt(14))/8# 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 1387 views around the world You can reuse this answer Creative Commons License