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An algebra problem by Saurav Pal

Algebra

If

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

then what is the value of $(1+x)^{48}?$

25 125 625 5

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by Saurav Pal

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