To the 48th power!

Algebra Level pending

Given that \(x= \frac { 4 }{ (\sqrt { 5 } +1)(\sqrt [ 4 ]{ 5 } +1)(\sqrt [ 8 ]{ 5 } +1)(\sqrt [ 16 ]{ 5 } +1) }\)

Find \((x+1)^{48}\)

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