Final Answer
Step-by-step Solution
Problem to solve:
Specify the solving method
Simplify $\sqrt{x^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{2}$
Factor the difference of squares $x^2-25$ as the product of two conjugated binomials
Simplify the fraction $\frac{\left(x+5\right)\left(x-5\right)}{x-5}$ by $x-5$
Evaluate the limit $\lim_{x\to5}\left(x+5\right)$ by replacing all occurrences of $x$ by $5$
Add the values $5$ and $5$
Simplifying, we get