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How to compute the square root of a complex number
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Suppose you’re given a complex number z = x + iy and you want to find a complex number w = u + iv such that w² = z. If all goes well, you can compute w as follows: ℓ = √(x² + y²) u = √((ℓ + x)/2) v = sign(y) √((ℓ – x)/2). […]
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