# How do you solve (x - 5)^2 = 2?

Apr 28, 2017

$x = \sqrt{2} + 5$

#### Explanation:

To isolate the $x$, we need to take the square root of both sides to get rid of the power.

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

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

The square root and power on the left term cancel out, leaving us with:

$x - 5 = \sqrt{2}$

To finish isolating the x, add $5$ to both sides.

$x \cancel{- 5 + 5} = \sqrt{2} + 5$

$x = \sqrt{2} + 5$