# Difference between revisions of "2005 AIME II Problems/Problem 7"

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== Problem == | == Problem == | ||

− | + | Let <math> x=\frac{4}{(\sqrt{5}+1)(\sqrt[4]{5}+1)(\sqrt[8]{5}+1)(\sqrt[16]{5}+1)}. </math> Find <math> (x+1)^{48}. </math> | |

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== Solution == | == Solution == | ||

== See Also == | == See Also == | ||

*[[2005 AIME II Problems]] | *[[2005 AIME II Problems]] |