If \[{{z}_{1}},{{z}_{2}}{{z}_{3}},{{z}_{4}}\]are the roots of the equation \[{{z}^{4}}=1\], then the value of \[\sum\limits_{i=1}^{4}{z_{i}^{3}}\]is [Kurukshetra CEE 1996]

If \[{{z}_{1}},{{z}_{2}}{{z}_{3}},{{z}_{4}}\]are the roots of the equa

1.	If \[{{z}_{1}},{{z}_{2}}{{z}_{3}},{{z}_{4}}\]are the roots of the equation \[{{z}^{4}}=1\], then the value of \[\sum\limits_{i=1}^{4}{z_{i}^{3}}\]is [Kurukshetra CEE 1996]
A.	0
B.	1
C.	\[i\]
D.	\[1+i\]
Answer» B. 1

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If \[{{z}_{1}},{{z}_{2}}{{z}_{3}},{{z}_{4}}\]are the roots of the equation \[{{z}^{4}}=1\], then the value of \[\sum\limits_{i=1}^{4}{z_{i}^{3}}\]is [Kurukshetra CEE 1996]

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