Complex Numbers - Applying Complex Conjugate Identities

Complex Numbers - Applying Complex Conjugate Identities

\({z={{\left( 5+2\mathbf{i} \right)}^{n}}+{{\left( 5-2\mathbf{i} \right)}^{n}}}\), \({n\in \mathbb{N}}\)

Show clearly that \({z}\) is a real number.

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