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If a=1+i , then a^2 equals A. 1-i B. 2...

If `a=1+i ,` then `a^2` equals
A. `1-i`
B. `2i`
C. `(1+i)(1-i)`
D. `(i-1)`

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(2) 2`i`
`a=1+i `
On squaring both the sides, we get,
`a^{2}=(1+i)^{2} `
`Rightarrow a^{2}=1+i^{2}+2 i `
`Rightarrow a^{2}=1-1+2i) `
`Rightarrow a^{2}=2 i`
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