Answer
$x=4$
Work Step by Step
The given equation is
$\Rightarrow \sqrt x+6=8$
Subtract $6$ from each side.
$\Rightarrow \sqrt x+6-6=8-6$
Simplify.
$\Rightarrow \sqrt x=2$
Square each side of the equation.
$\Rightarrow (\sqrt{x})^2=2^2$
Simplify.
$\Rightarrow x=4$
Check $x=4$.
$\Rightarrow \sqrt x+6=8$
$\Rightarrow \sqrt 4+6=8$
$\Rightarrow \sqrt {2^2}+6=8$
$\Rightarrow 2+6=8$
$\Rightarrow 8=8$
True.
Hence, the solution is $x=4$.
