# How do you solve sqrt(x+8)=5?

Sep 10, 2017

$x = 17$

#### Explanation:

Square both sides to cancel out the square root

${\sqrt{x + 8}}^{2} = {5}^{2}$

$x + 8 = 25$

Subtract $8$ from both sides to solve for $x$

$x + 8 \textcolor{red}{- 8} = 25 \textcolor{red}{- 8}$

$x + 0 = 17$

$x = 17$