If \( \mathrm{z}^{4}+1=\sqrt{3} i \) (A) \( z^{3} \) is purely real...

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If \( \mathrm{z}^{4}+1=\sqrt{3} i \)
(A) \( z^{3} \) is purely real
(B) \( z \) represents the vertices of a square of side \( 2^{1 / 4} \)
\( \mathrm{P} \)
(C) \( \mathrm{z}^{9} \) is purely imaginary
(D) \( \mathrm{z} \) represents the vertices of a square of side \( 2^{3 / 4} \).
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