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Question
The value of (1+i)(1+i2)(1+i3)(1+i4) is
The value of (1+i)(1+i2)(1+i3)(1+i4) is
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Solution
The correct option is B 0
(1+i)(1+i2)(1+i3)(1+i4)=(1+i)(1−1)(1−i)(1+1) (∵ i2=−1, i3=−i and i4=1)=(1+i)(0)(1−i)(2)=0
0
(1+i)(1+i2)(1+i3)(1+i4)=(1+i)(1−1)(1−i)(1+1) (∵ i2=−1, i3=−i and i4=1)=(1+i)(0)(1−i)(2)=0
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