Question

solve this problem in detail

Answer 1

Hope u like my process
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8)

$= > \bf \: \frac{2 + \sqrt{ - 3} }{4 + \sqrt{ - 3} } \\ \\ = \frac{(2 + \sqrt{ - 3})(4 - \sqrt{ - 3} ) }{(4 + \sqrt{ - 3} )(4 - \sqrt{ - 3}) } \\ \\ = \frac{8 + 4 \sqrt{ - 3} - 2 \sqrt{ - 3} - ( - 3) }{ {4}^{2} - {( \sqrt{ - 3}) }^{2} } \\ \\ = \frac{8 + 3 + 2 \sqrt{ - 3} }{16 - ( - 3)} = \frac{11 + (2 \sqrt{3})i }{16 + 3} \\ \\ \bf \: = \frac{11}{19} + \frac{2 \sqrt{3} }{19} i \\ \\ \\ thus \\ \\ = > \bf \: a = \frac{11}{19} \: \: \: and \: \: \: b = \frac{2 \sqrt{3} }{19}$
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Hope this is ur required answer

Proud to help you

Answer 2

Hope this helps you....