# How do you solve \sqrt { x - 4} + 8= 9?

Nov 15, 2016

$x = 5$

#### Explanation:

$\sqrt{x - 4} + 8 = 9$

Subtract $8$ from both sides, to isolate the radical.

$\sqrt{x - 4} = 1$

Square both sides to get rid of the radical.

$x - 4 = 1$

Add $4$ to both sides to isolate $x$.

$x = 5$

To check, if you plug $5 = x$, the equation is proven equal.

$\sqrt{5 - 4} + 8 = 9$

$9 = 9 \to$ Yes!

Hope that helped!