# Identical Deformation With Radicals

Algebra Level 5

$x^{2}-\frac{1}{x^{2}}$

$x$ is a value that satisfies $\sqrt{x}-\frac{1}{\sqrt{x}}=-2$. When substituted into the above expression, we obtain the value $a\sqrt{b}$, where $a$ and $b$ are integers with $b$ square-free. Find $|a+b|$.

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