If \( x=\frac{(7+5 \sqrt{2})^{\frac{1}{3}}}{2+2 \sqrt{2}} \), then ...

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If \( x=\frac{(7+5 \sqrt{2})^{\frac{1}{3}}}{2+2 \sqrt{2}} \), then \( x \) belongs to:
(A) \( (2,3) \)
(B) \( (0,1) \)
(C) \( (-1,0) \)
(D) \( (3,4) \)
\( \mathrm{P} \)
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