Answer
The solution is $s=10$.
Work Step by Step
The given equation is
$\Rightarrow 2=\sqrt{4s-4}-4$
Add $4$ to each side.
$\Rightarrow 2+4=\sqrt{4s-4}-4+4$
Simplify.
$\Rightarrow 6=\sqrt{4s-4}$
Square each side of the equation.
$\Rightarrow (6)^2=(\sqrt{4s-4})^2$
Simplify.
$\Rightarrow 36=4s-4$
Add $4$ to each side.
$\Rightarrow 36+4=4s-4+4$
Simplify.
$\Rightarrow 40=4s$
Divide each side by $4$.
$\Rightarrow 10=s$
Check $s=10$.
$\Rightarrow 2=\sqrt{4s-4}-4$
$\Rightarrow 2=\sqrt{4(10)-4}-4$
$\Rightarrow 2=\sqrt{40-4}-4$
$\Rightarrow 2=\sqrt{36}-4$
$\Rightarrow 2=6-4$
$\Rightarrow 2=2$
True.
Hence, the solution is $s=10$.
