Question

find the imaginary part of 5+2i/-1+√3i

Answer 1

$\frac{5 + 2i}{ - 1 + \sqrt{3} i} \times \frac{ - 1 - \sqrt{3} i}{ - 1 - \sqrt{3}i }$
$= \frac{ - 5 - 5 \sqrt{3}i - 2i + 2 \sqrt{3} }{4}$
$= \frac{ - 5 + 2 \sqrt{3} }{4} + i( \frac{ - 5 \sqrt{3 } - 2 }{4} )$
imaginary part =
$\frac{ - 5 \sqrt{3} - 2 }{4}$