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The simplified form of the expression \( \frac{8}{\sqrt{32x}} \) is \( \frac{\sqrt{2}}{\sqrt{x}} \).

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Here are 5 related questions for deeper understanding:
1. How do you simplify square roots of products, such as \( \sqrt{32x} \)?
2. How do you handle square roots in the denominator?
3. Can you explain the general process for simplifying fractions with radicals?
4. What is the significance of the factorization of 32 in this simplification?
5. How do you rationalize the denominator when there is a square root?

**Tip**: To simplify square roots of numbers like 32, break them into their prime factors (e.g., \(32 = 2^5\)) to easily extract square factors.

Can you simplify 8 divided by the square root of 32x?

Learn how to simplify the expression 8 divided by the square root of 32x. This solution covers simplifying square roots and rationalizing the denominator, which is essential for students in Grades 8-10.

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