# Cubes

Algebra Level 2

$\sqrt[3]{ 1+ \sqrt{x}} + \sqrt[3]{1 - \sqrt{x}} = \sqrt[3]{5}$

One solution of the above equation is of the form $$\frac{a}{b},$$ where $$a$$ and $$b$$ are coprime positive integers.

Find $$a+b$$.

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