Question 1127120
 Solve 

{{{highlight(t^(2/3)+t^(1/3)-6=0) }}}.....actor completely, use {{{t^(1/3)=3t^(1/3)-2t^(1/3)}}} and group terms


{{{highlight( t^(2/3)+3t^(1/3)-2t^(1/3)-6=0) }}}


{{{highlight((t^(2/3)-2t^(1/3))+(3t^(1/3)-6)=0) }}}


{{{highlight(t^(1/3)(t^(1/3)-2)+3(t^(1/3)-2)=0 )}}}


{{{highlight((t^(1/3) - 2) (t^(1/3) + 3) = 0)}}}-> take only positive solution


{{{highlight(t^(1/3) = 2)}}}


{{{root(3,t) = 2}}}


{{{t = 8}}}