Simplifying a solution to $x^2 = 4 + 2\sqrt{2}$

$$x^2 = 4 + 2\sqrt{2}$$

$$x = 2 + \sqrt{2\sqrt{2}}$$

Neglecting that the result can be negative as well, how should I continue? How can I simplify it?

• Note that $\sqrt {a+b}\neq \sqrt a +\sqrt b$ in general – Mark Bennet Jan 23 at 18:39
• Why simplify the expression if it's already simple? :o) – Bernard Jan 23 at 18:43

$$x^2 = 4 + 2\sqrt{2} \rightarrow x = \pm \sqrt{4 + 2\sqrt{2}}$$