# (x-5)^2=8?

Apr 3, 2018

$x = 5 \pm 2 \sqrt{2}$

#### Explanation:

Given:

${\left(x - 5\right)}^{2} = 8$

Note that both $2 \sqrt{2}$ and $- 2 \sqrt{2}$ are square roots of $8$.

So:

$x - 5 = \pm 2 \sqrt{2}$

Adding $5$ to both sides, we find:

$x = 5 \pm 2 \sqrt{2}$