Question 1196038
{{{3/root(5, 8) }}}


Multiply by the conjugate  {{{root(5, 8^4) }}}


{{{(3root(5, 8^4) )/(root(5, 8) *root(5, 8^4) )}}}


{{{(-3root(5, 8^4) )/8 }}}    


write {{{root(5, 8^4) }}} as {{{root(5, (2^3)^4) =root(5,2^12 )=root(5,2^12) }}}


{{{(3*root(5,2^12) )/8}}}


simplify  {{{root(5,2^12)=4*2^(2/5)}}}


{{{(3 *4* 2^(2/5))/8}}}


{{{(3 *2^(2/5))/2}}} or  {{{(3*root(5,4))/2}}}