Questions: Simplify the expression sqrt(x^2 + 81).

Simplify the expression sqrt(x^2 + 81).
Transcript text: Simplify the expression $\sqrt{x^{2}+81}$.
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Solution

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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.

\[ \boxed{\sqrt{x^2 + 81}} \]

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