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If x+i y=sqrt((a+i b)/(c+i d)) prove tha...

If `x+i y=sqrt((a+i b)/(c+i d))` prove that `(x^2+y^2)^2=(a^2+b^2)/(c^2+d^2)`

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Given` x+iy = sqrt[(a+ib)/(c+id)]` ..(i)
`x-iy = sqrt[(a-ib)/(c-id)]` …(ii)
Multiply (i) and (ii)
`(x+iy)(x-iy) = sqrt[(a+ib)/(c+id)] sqrt[(a-ib)/(c-id)]`
...
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