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Question

If a = 1 + i, then a2 equals
(a) 1 − i
(b) 2i
(c) (1 + i) (1 − i)
(d) i − 1.

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Solution

(b) 2i

a = 1 + i
On squaring both the sides, we get,
a2 = (1 + i)2
a2 = 1 + i2 + 2i
a2 = 1-1 + 2i ( i2 = -1)
a2 = 2i

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