Find the square root of the following complex number: `1-i`

Explanation

Assume `1-i=x-iy`

`1-i=(x+iy)^2`

`x^2-y^2=1-----------(1)`

`2xy=-1---------------(2)`

`(x^2 + y^2)^2=( x^2-y^2)+ 4x^2y^2`

`(x^2+y^2)^2=1+ (2xy)^2` (using 1)

`(x^2+y^2)^2=1+1` (using 2)

`x^2+y^2 = sqrt2-------(3)`
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