The expression \(5\sqrt{x^2 + 7}\) represents a product of 5 and the square root of the term \(x^2 + 7\). This is already in a simplified form unless there’s additional context like evaluating for a particular value of \(x\), differentiating, or integrating with respect to \(x\).

Let me know if you'd like further help with any specific operation, like solving, simplifying under certain conditions, or transforming this expression.

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Here are some related questions to explore further:

1. How would you differentiate \(5\sqrt{x^2 + 7}\) with respect to \(x\)?
2. What is the integral of \(5\sqrt{x^2 + 7}\) with respect to \(x\)?
3. How would this expression change if it was \(5\sqrt{x^2 - 7}\) instead?
4. Can this expression be simplified if \(x\) has specific integer values?
5. What is the value of \(5\sqrt{x^2 + 7}\) if \(x = 3\)?

**Tip:** When dealing with square roots in expressions, consider whether simplifying the inner expression can make computations easier.

Explore the expression 5√(x² + 7) with a detailed breakdown. This guide explains how to handle square roots in algebraic expressions, with possible extensions into differentiation, integration, and evaluating for specific values. Suitable for high school students.

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