Question

please help me class 11 math complex number

Answer 1

$\sqrt{3} + i = (a + ib)(c + id) \\ take \: rhs \: \\ = ac + iad + ibc + {i}^{2} bd \\ =( ac - bd) + i(bc + ad) \\ now \: compare \: wit h\: lhs \\ \sqrt{3} = ac - bd \\ 1 = bc + ad$
$for \: argument \: \\ \alpha = {tan}^{ - 1} ( \frac{img \: coeff}{real \: coeff} ) \\ = {tan}^{ - 1} ( \frac{bc + ad}{ac - bd} )$


mark as brainliest if helped