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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.
The smallest positive integral value of n for which {1 + i sqrt(3)} ^ n/2 is positive is :a)3b)6c)12d)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

Arun
25768 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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• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions