1. **State the problem:** Simplify or analyze the expression $\sqrt{x+4}+2$. 2. **Understand the components:** The expression consists of a square root function $\sqrt{x+4}$ and a constant term $2$ added to it. 3. **Domain considerations:** The expression inside the square root, $x+4$, must be non-negative for the expression to be real. So, $x+4 \geq 0$ which implies $x \geq -4$. 4. **No further simplification:** The expression $\sqrt{x+4}+2$ cannot be simplified further algebraically. 5. **Summary:** The expression is defined for $x \geq -4$ and represents the square root of $x+4$ shifted upward by 2 units.