If \((x+\frac{1}{x})\) = 5, and x > 1, what is the value of \((x^8-\frac{1}{x^8} )\)?

1
\(60605\sqrt{21}\)
2
\(60615\sqrt{21}\)
3
\(60705\sqrt{21}\)
4
\(60725\sqrt{21}\)

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