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if z = (sqrt 3 ) /(2) + (i)/(2) ( ...

if ` z = (sqrt 3 ) /(2) + (i)/(2) ( i=sqrt ( -1) )`, then ` ( 1 + iz + z^5 + iz^8)^9 ` is equal to:

A

` ( - 1 + 2 i) ^ 9 `

B

` 0 `

C

` -1 `

D

` 1 `

Text Solution

AI Generated Solution

To solve the problem, we start with the given complex number: \[ z = \frac{\sqrt{3}}{2} + \frac{i}{2} \] ### Step 1: Identify the properties of \( z \) ...
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