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527−1527−1527−⋯8=a+bc,\large \sqrt[8]{527 - \dfrac{1}{527 - \frac{1}{527 - \cdots}}} = \dfrac{\sqrt{a} + \sqrt{b}}{c} , 8527−527−527−⋯11=ca+b,
where a,b,ca,b,ca,b,c are positive, square-free integers. Find the product abcabcabc.
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