\(=\sqrt{\sqrt{2}+1-\sqrt{8\left(\sqrt{2}+1\right)}+2}-\sqrt{\sqrt{2}+1}\)
\(=\left|\sqrt{\sqrt{2}+1}-\sqrt{2}\right|-\sqrt{\sqrt{2}+1}\)
\(=\sqrt{\sqrt{2}+1}-\sqrt{2}-\sqrt{\sqrt{2}+1}=-\sqrt{2}\)
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