Q49 / 160 · AP EAMCET 2025 (22 MAY SHIFT 2) · Mathematics

If $x^6=(\sqrt{3}-i)^5$, then the product of all of its roots is

  • A
    $2^5(\sqrt{3}+i)$
  • B
    $\frac{2^6}{\sqrt{3}+\mathrm{i}}$
  • C
    $2^6(\sqrt{3}-i)$
  • Correct answer
    D
    $\frac{2^6}{\sqrt{3}-\mathrm{i}}$

Hence, the correct answer is option: 'D'.

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