# How do you solve x^4=8?

May 17, 2016

$x = \pm \sqrt[4]{8}$

#### Explanation:

Note there is no "pretty" version of this solution.

As an alternate expression:
$\textcolor{w h i t e}{\text{XXX}} {x}^{4} = 8$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow {x}^{2} = \sqrt{8} = 2 \sqrt{2}$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow x = \pm \sqrt{2 \sqrt{2}}$

...but this is really just the same as $\sqrt[4]{8}$