Question

Express in the form of a+ib in 5-√3i÷4+2√3i ​

Answer 1

Step-by-step explanation:

this is the correct answer

Answer 2

$\frac{5 - \sqrt{3} i}{4 + 2 \sqrt{3}i }$

$= \frac{5 - \sqrt{3}i }{4 + 2 \sqrt{3} i} \times \frac{4 - 2 \sqrt{3} i }{4 - 2 \sqrt{3} i}$

$= \frac{20 - 10 \sqrt{3} i - 4 \sqrt{3} i + 6i {}^{2} }{ {4}^{2} - {(2 \sqrt{3} i)}^{2} }$

$= \frac{20 - 14 \sqrt{3}i - 6 }{16 + 12}$

$= \frac{14 - 14 \sqrt{3}i }{28}$

$= \frac{ \cancel{14}(1 - \sqrt{3}i) }{ \cancel{28}}$

$= \frac{1}{2} + ( \frac{ - \sqrt{3} }{2} )i$

here ,

$a = \frac{1}{2}$

$b = \frac{ - \sqrt{3} }{2}$