# Part 9

Algebra Level 4

$\begin{eqnarray} m&=&\sqrt[3]{\sqrt{3+2\sqrt{2}}-\sqrt{3-2\sqrt{2}}-1} \\ n&=&\sqrt[3]{\sqrt{17+12\sqrt{2}}+\sqrt{17-12\sqrt{2}}+2} \end{eqnarray}$

Let the values of $$m$$ and $$n$$ be described above. Compute $$2(20m+6n)^{2}-32$$.

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