TS EAMCET · Maths · Complex Number
The product of the distinct \((2 n)\) th roots of \(1+i \sqrt{3}\) is equal to :
- A 0
- B \(-1-i \sqrt{3}\)
- C \(1+i \sqrt{3}\)
- D \(-1+i \sqrt{3}\)
Answer & Solution
Correct Answer
(B) \(-1-i \sqrt{3}\)
Step-by-step Solution
Detailed explanation
Product of the distinct \((2 n)^{\text {th }}\) roots of \(1+i \sqrt{3}\) \(=-1-i \sqrt{3}\)
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