TS EAMCET · Maths · Complex Number
If \(i^{\prime} i^{\prime}\) is the root of the equation \(\mathrm{x}^2+1=0\) then \((1+\sqrt{3} i)^{2023}+(1-\sqrt{3} i)^{2023}=\)
- A \(2^{2022}\)
- B \(2^{2023}\)
- C \(2^{2022}(\sqrt{3})\)
- D \(2^{2023}(\sqrt{3})\)
Answer & Solution
Correct Answer
(B) \(2^{2023}\)
Step-by-step Solution
Detailed explanation
\(\Rightarrow(1+\sqrt{3} i)^{2023}+(1-\sqrt{3} i)^{2023}\)…
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