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

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:

\(\sqrt { x\sqrt { x\sqrt { x\sqrt { x\sqrt { x.... } } } } } \)

What is the value of x?

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