1. The problem involves understanding the expression $x + 2\sqrt{5}$. 2. This expression consists of a variable term $x$ and a constant term $2\sqrt{5}$. 3. $\sqrt{5}$ is the square root of 5, an irrational number approximately equal to 2.236. 4. Thus, $2\sqrt{5}$ is approximately $2 \times 2.236 = 4.472$. 5. The entire expression represents a linear expression in $x$ plus a constant approximately 4.472. 6. This expression can be simplified when $x$ is substituted with a specific value or used as is for algebraic manipulation. 7. Since no further operations or equations were provided, the expression is simplified as given: $x + 2\sqrt{5}$.