Question 1117281
{{{ a + bi  =  r * ( cos(theta) + i*sin(theta) ) }}}  <br>

 {{{ r = sqrt(a^2 + b^2) = sqrt(9+3) = sqrt(12) = 2sqrt(3) }}}

 {{{ theta = tan^-1(b/a)  = tan^-1(sqrt(3)/3) = 30^o  }}}<br>


{{{ 3 + i*sqrt(3) =  highlight( 2*sqrt(3) * (cos(30^o)  + i*sin(30^o))) }}}