Just elegancy required

Algebra Level 3

x=4(51/2+1)(51/4+1)(51/8+1)(51/16+1)x=\dfrac{4}{(5^{1/2}+1)(5^{1/4}+1)(5^{1/8}+1)(5^{1/16}+1)}

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

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