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Question

If i2=1, calculate the value of 3i2+i3i4.

A
4i
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B
2i
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C
2+i
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D
4+i
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E
6+2i
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Solution

The correct option is A 4i
i is an imaginary number whose value is 1
So, i2=1
i3=i2i=1i=i
i4=(i2)2=(1)2=1
So the value of 3i2+i3i4 is
3×(1)+(i)(1)
3i1=4i

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