Question 176192
{{{root(3, 2/9) = root(3, 2)/root(3, 9)}}}


Now you need to rationalize the denominator.  You need to find something to multiply by {{{root(3, 9)}}} that will make the denominator a rational number.


{{{root(3, 9) * root(3, 9^2) = root(3, 9^3) = 9}}}.


So, multiply {{{root(3, 2)/root(3, 9)}}} by {{{1}}} in the form of {{{root(3, 9^2)/root(3, 9^2)}}}, yielding:


{{{((root(3, 2))(root(3, 9^2)))/9 = root(3, 162)/9}}}