How do you simplify # ( sqrt 24)/ (12 sqrt 8)#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer MathIsMyWaifu May 19, 2017 #sqrt(3)/12# Explanation: #sqrt(24)# can be split up to #sqrt(3)*sqrt(8)# So #sqrt(24)/(12sqrt(8))# can be expressed as #(sqrt(3)*sqrt(8))/(12sqrt(8))# Cancel out the #sqrt(8)# and you get #sqrt(3)/12# 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 1485 views around the world You can reuse this answer Creative Commons License