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Question
The value of \[(1 + i)(1 + i^2 )(1 + i^3 )(1 + i^4 )\] is.
Options
2
0
1
i
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Solution
0
(1+ i) (1 + i2) (1 + i3) (1 + i4)
= (1+ i) (1\[-\]1) (1 \[-\]i) (1 + 1) (\[\because\]i2 =\[-\] 1, i3 =\[-\] i and i4 = 1)
= (1 + i) (0) (1\[-\]i) (2)= 0
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