Math, asked by jpsavita888, 11 months ago

Express the complex number z=8÷(1+i√3) in a+ib

Answers

Answered by roysupriyo10
1

Answer:

z=4-i43

Step-by-step explanation:

z =  \frac{8}{1 +  \sqrt{3}i }  \\ z =  \frac{8}{1 +  \sqrt{3} i}  \times  \frac{1 -  \sqrt{3}i }{1 -  \sqrt{3} i}  \\ z =  \frac{8(1 -  \sqrt{3}i )}{ {1}^{2} +  { \sqrt{3} }^{2}  }  \\ z =  \frac{8(1 -  \sqrt{3}i) }{4}  \\ z = 4(1 -  \sqrt{3} i) \\ z = 4 - 4 \sqrt{3} i

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