How do you rationalize the denominator and simplify #root3(3/(2x))#?

1 Answer
Oct 7, 2015

Answer:

Multiply by #((root(3)(2x))^2)/((root(3)(2x))^2)#

to get #(root(3)(12x^2))/(2x#

Explanation:

#root(3)(3/(2x))#
#color(white)("XXX)=root(3)((3/(2x)))*((root(3)(2x))^2)/((root(3)(2x))^2)#

#color(white)("XXX)=(root(3)(3) * root(3)(4x^2))/(root(3)(2x) * (root(3)(2x))^2)#

#color(white)("XXX)=(root(3)(12x^2))/(2x)#