# What is the sqrt(x^2 + 4x + 4)?

It is $\left\mid x + 2 \right\mid$
$\sqrt{{x}^{2} + 4 x + 4} = \sqrt{{\left(x + 2\right)}^{2}} = \left\mid x + 2 \right\mid$.
${x}^{2} + 4 x + 4$ can be simplified to ${\left(x + 2\right)}^{2}$ and when square rooted it would be $\left(x + 2\right)$