The Mathematicians Square[Root]

Geometry Level 1

A Mathematician has a square of sides length 2\sqrt { 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.... } } } } }

What is the value of x?


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