Terrible equations!

Algebra Level 4

If \( x=\frac{\sqrt{\sqrt{5}+2}+\sqrt{\sqrt{5}-2}}{\sqrt{\sqrt{5}+1}}+\frac{\sqrt{\sqrt{5}+2}+\sqrt{\sqrt{5}-2}}{2\sqrt{\sqrt{5}+1}}-\sqrt{3-2\sqrt{2}}\)

then find the value of \( x^{2} \) .

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