How do you simplify #(4 sqrt (x ^12))/( 24 sqrt (x ^12))#? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 2 Answers Massimiliano Apr 29, 2015 In this way: #(4cancelsqrt(x^12))/(24cancel(sqrt(x^12)))=1/6#. Answer link Don't Memorise Apr 29, 2015 #(4sqrt(x^12))/(24sqrt(x^12))# # = (4/24)*(cancel(sqrt(x^12))/cancel(sqrt(x^12)))# # = 4/24# # = color(green)(1/6# is the Simplified version of #(4sqrt(x^12))/(24sqrt(x^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 1280 views around the world You can reuse this answer Creative Commons License