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

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

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

  • 6
    $\begingroup$ Note that $\sqrt {a+b}\neq \sqrt a +\sqrt b$ in general $\endgroup$ – Mark Bennet Jan 23 at 18:39
  • 3
    $\begingroup$ Why simplify the expression if it's already simple? :o) $\endgroup$ – Bernard Jan 23 at 18:43

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


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