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A Mathematician has a square of sides length 2\sqrt { 2 }2
He's very clever and is able to work out the area of the square.
However, he suddenly sees that he can write his answer for the area out in a different way! In the form of:
xxxxx....\sqrt { x\sqrt { x\sqrt { x\sqrt { x\sqrt { x.... } } } } } xxxxx....
What is the value of x?
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