[JEE Advanced 1988] Let $R=(5\sqrt5+11)^{2n+1}$ and $f=R-[R]$. Prove that $Rf$ is a fixed power of $4$.
Let $R=(5\sqrt5+11)^{2n+1}$ and $f=R-[R]$. Prove that $Rf$ is a fixed power of $4$.
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