Question

Express the following in the form of a+ib. i= √-1. State the value of a and b.
$\frac{2 + \sqrt{ - 3} }{4 + \sqrt{ - 3} }$
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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$= \frac{2 + \sqrt{3} i}{4 + \sqrt{3} i} \\ = \: \frac{2 + \sqrt{3} i}{4 + \sqrt{3} i} \times \frac{4 - \sqrt{3}i }{4 - \sqrt{3}i } \\ = \frac{8 - 2 \sqrt{3}i + 4 \sqrt{3} i - 3 {i}^{2} }{16 - 3 {i}^{2} } \\ = \frac{11 + 2 \sqrt{3} i}{19} \\ = \frac{11}{19} + \frac{2 \sqrt{3} i}{19} \\ a = \frac{11}{19} \: \: \: \: \: b = \frac{2 \sqrt{3} }{19} \\ hope \: it \: will \: help \: you.....$