# Dominating Twos

Algebra Level 4

$\large {\sqrt{2 + \sqrt{2 + \sqrt{2 + \sqrt 2}}}} \div {\sqrt{2 - \sqrt{2 - \sqrt{2 - \sqrt 2}}}}$

If $$X$$ equals to the expression above, determine the value of $$\left \lceil 10^4 X \right \rceil$$.

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