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Grade:

                        

The smallest positive integral value of n for which {1 + i sqrt(3)} ^ n/2 is positive is : a)3 b)6 c)12 d)0 Clearly, {1 + i sqrt(3)} ^ n/2 = (-2)^n/2 * (w)^n/2 therefore, if n=6 then it becomes (-2)^3 which would result in a negative number not positive. Please explain how 6 is the answer. I think 12 will be the answer.

2 years ago

Answers : (1)

Arun
24738 Points
							
Dear student
 
2^n/2  (– 1)^n/2{ – 1/2  –  i sqrt(3)/2} ^ n/2
 
Now if n = 6
 
This will results in a positive number
2 years ago
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