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The given expression is:

\[
\sqrt{16x^2}
\]

To simplify this:

1. We can rewrite the expression as:
\[
\sqrt{16} \times \sqrt{x^2}
\]

2. The square root of 16 is 4, and the square root of \(x^2\) is \(x\) (assuming \(x \geq 0\)):
\[
4 \times x = 4x
\]

Thus, the simplest form of \(\sqrt{16x^2}\) is:

\[
4x
\]

Let me know if you would like further details or have any questions!

Here are 5 related questions you can explore:
1. How do you simplify expressions with higher-degree roots?
2. What happens if the expression involves negative exponents?
3. How do you simplify expressions with fractional exponents?
4. How do you handle cases where \(x\) can be negative?
5. How would this expression change if it was under a cube root?

**Tip:** Always check for both positive and negative values of variables when simplifying square roots involving variables.

Learn how to simplify the square root expression sqrt(16x^2) with a step-by-step solution. This math problem covers algebraic concepts, including square roots, exponents, and the square root property. Suitable for students in Grades 7-9.

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