TS EAMCET · Maths · Complex Number
The product of all the values of \((\sqrt{3}-i)^{2 / 5}\) is
- A \(2(\sqrt{3}-i)\)
- B \(2(\sqrt{3}+i)\)
- C \(2(1-\sqrt{3} i)\)
- D \(2(1+\sqrt{3} i)\)
Answer & Solution
Correct Answer
(C) \(2(1-\sqrt{3} i)\)
Step-by-step Solution
Detailed explanation
Let \(z=(\sqrt{3}-i)^{2 / 5}=2^{2 / 5}\left(\frac{\sqrt{3}}{2}-\frac{1}{2} i\right)\)…
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