Question 702147
Inside a cubic root, factor out anything that is a cube.
Then split the root into a product of the roots of the factors,
and then simplify that part that can be simplified.
{{{root(3,8)=root(3,2^3)=2}}}
{{{root(3,8^2)=root(3,(2^3)^2)=root(3,2^(3*2))=root(3,(2^2)^3)=root(3,4^3)=4}}}
{{{root(3,81x^2)=root(3,3^4*x^2)=root(3,3^3*3x^2)=root(3,3^3)*root(3,3x^2)=3*root(3,3x^2)}}}
{{{root(3,x^23)=root(3,x^(3*7+2))=root(3,x^(3*7)*x^2)=root(3,x^(3*7))*root(3,x^2)=root(3,(x^7)^3)*root(3,x^2)=x^7*root(3,x^2)}}}