Questions: Simplify the expression sqrt(x^2 + 81).
Transcript text: Simplify the expression $\sqrt{x^{2}+81}$.
Solution
Solution Steps
To simplify the expression \(\sqrt{x^{2}+81}\), we need to check if the expression inside the square root can be factored or simplified further. In this case, \(x^2 + 81\) does not factor into simpler terms that would allow for further simplification under the square root. Therefore, the expression is already in its simplest form.
Step 1: Define the Expression
We start with the expression \(\sqrt{x^2 + 81}\).
Step 2: Simplify the Expression
To simplify \(\sqrt{x^2 + 81}\), we check if the expression inside the square root can be factored or simplified further. In this case, \(x^2 + 81\) does not factor into simpler terms that would allow for further simplification under the square root.
Final Answer
The expression \(\sqrt{x^2 + 81}\) is already in its simplest form.