Find the complex conjugate of a number by negating its imaginary part. For z = a + bi, the conjugate is z̄ = a − bi. Useful for simplifying complex division and finding magnitudes.
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The complex conjugate of z = a + bi is obtained by changing the sign of the imaginary part, yielding z̄ = a − bi. Multiplying a complex number by its conjugate gives a real result: z·z̄ = a² + b² = |z|².
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