Question 1174593
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{{{14^3 = 2744}}}<br>
first cube root...
{{{2744 = (14^3)(cos(0)+i*sin(0))}}}
{{{root(3,2744) = 14(cos(0)+i*sin(0)) = 14+0i = 14}}}<br>
second cube root...
{{{2744 = (14^3)(cos(360)+i*sin(360))}}}
{{{root(3,2744) = 14(cos(120)+i*sin(120)) = 14((-1/2)+i*(sqrt(3)/2)) = -7+7i*sqrt(3)}}}<br>
third cube root...
{{{2744 = (14^3)(cos(720)+i*sin(720))}}}
{{{root(3,2744) = 14(cos(240)+i*sin(240)) = 14((-1/2)+i*(-sqrt(3)/2)) = -7-7i*sqrt(3)}}}<br>