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The given expression is:

\[
\frac{\sqrt{4x^2}}{3y}
\]

### Simplification:

1. The square root of \( 4x^2 \) is \( 2x \), since:
   \[
   \sqrt{4x^2} = 2x
   \]

2. Therefore, the expression becomes:
   \[
   \frac{2x}{3y}
   \]

So, the simplified expression is:
\[
\frac{2x}{3y}
\]

Would you like more details or have any questions about this simplification?

Here are 5 related questions:
1. How would the expression change if the numerator was \( \sqrt{9x^2} \) instead of \( \sqrt{4x^2} \)?
2. Can you simplify \( \frac{\sqrt{25x^4}}{5y} \)?
3. What happens if we add another term, such as \( + \frac{6x}{3y} \)?
4. How does simplifying an expression change when the square root involves multiple variables?
5. Could you factor an expression like \( \frac{\sqrt{16x^2}}{4y} \)?

**Tip:** Always simplify the square root first when dealing with expressions involving radicals, as it reduces complexity early in the process.

Simplify the expression \( \frac{\sqrt{4x^2}}{3y} \)

Learn how to simplify the radical expression \( \frac{\sqrt{4x^2}}{3y} \). This problem covers key concepts in algebra, including simplifying square roots and fractions. Suitable for students in Grades 8-10.

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