# Almost AIME

Algebra Level 2

$\large \frac{4}{\big(\sqrt{5} + 1\big)\big(\sqrt[4]{5} + 1\big)\big(\sqrt[8]{5} + 1\big)\big(\sqrt[16]{5} + 1\big)}$

If the above expression is equal to $$x$$, find the value of $$(x+1)^{64}$$.

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