Question

2+√(−3)/4+√(−3)
Express the following in the form of a+ib, a, beR i=√(-1)

Answer 1

Answer:

$\frac{2 + \sqrt{3} \: i }{4 + \sqrt{3} \: i } = \frac{(2 + \sqrt{3}i)(4 - \sqrt{3}i) }{(4 + \sqrt{3}i)(4 - \sqrt{3}i) } =$

$\frac{8 + 3 + 2 \sqrt{3}i }{19} = \frac{11}{19} + \frac{2 \sqrt{3} }{19} i$