https://file.aiquickdraw.com/mathbot/file/1725502150831z4hi0gtv.jpg

The given expression is:

\[
\frac{\sqrt{150x^4}}{\sqrt{3x}}
\]

When simplified, it becomes:

\[
5 \sqrt{2} \cdot \sqrt{x^4} / \sqrt{x} = 5 \sqrt{2} \cdot x^{3/2}
\]

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

Here are 5 related questions:
1. How do you simplify expressions involving square roots?
2. What are the rules for handling exponents inside and outside of square roots?
3. Can you apply these steps to simplify other root expressions with different variables?
4. What happens if the variable inside the square root is negative?
5. How can you rationalize a denominator that involves a square root?

**Tip:** When simplifying square roots, always look for common factors that can be factored out of the root to simplify the expression further.

Simplify the expression: (sqrt(150x^4)) / (sqrt(3x))

Learn how to simplify the radical expression (sqrt(150x^4)) / (sqrt(3x)). This step-by-step solution involves simplifying square roots, manipulating exponents, and understanding the division of powers. Suitable for students in Grades 9-12.

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