# Minimario's diagonal

Geometry Level 2

Let $$ABCD$$ be a square with side length $$2$$ and let $$X$$ be a point outside the square such that $$XA=XB=\sqrt 2$$. The length of the longest diagonal in pentagon $$AXBCD$$ can be expressed as $$\sqrt{x}$$. What is the value of $$x$$?

This problem is posed by Minimario M.

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