AP EAMCET · Maths · Complex Number
The product of the four values of \((1+i \sqrt{3})^{3 / 4}\) is
- A \(-8 \mathrm{i}\)
- B i
- C \(-8\)
- D \(8\)
Answer & Solution
Correct Answer
(D) \(8\)
Step-by-step Solution
Detailed explanation
Let \(z=(1+i \sqrt{3})^{3 / 4}\) Product of four values of \(z=|z|^4...(i)\) Now, \(z=2^{3 / 4}\left(\frac{1}{2}+i \frac{\sqrt{3}}{2}\right)^{3 / 4}\)…
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