Minimal polynomial

Let α=53 \alpha = \sqrt{5}-\sqrt{3}, and let f(x) f(x) be the minimal polynomial of α \alpha . That is, f(x) f(x) is a monic polynomial with rational coefficients of the smallest possible nonzero degree such that f(α)=0 f(\alpha) = 0 .

Find f(1) f(1) .

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