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Find the square roots of the following: ...

Find the square roots of the following: `i`

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Let` sqrt(i) ​=x+iy.`
Then` i=x^2−y^2+2ixy,`
so,`x^2−y^2=0` and 2xy=−1.
Solving these, we get `x=−y=+-1/sqrt(2)`
Hence `sqrt(i) ...
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