The expression \( 6\sqrt{17x} - 8\sqrt{17x} \) can be simplified by factoring out the common term \( \sqrt{17x} \).

\[
6\sqrt{17x} - 8\sqrt{17x} = (6 - 8)\sqrt{17x}
\]

\[
6 - 8 = -2
\]

So, the simplified expression is:

\[
-2\sqrt{17x}
\]

Would you like further details on the simplification process or have any questions?

Here are 5 related questions you might find interesting:
1. How do you simplify expressions involving square roots?
2. What happens when you multiply two square roots?
3. How do you rationalize the denominator in a fraction involving square roots?
4. How can you simplify a square root of a product?
5. What are some common mistakes when working with square roots?

**Tip:** Always check for common factors when simplifying expressions; it can make the process quicker and easier.

Learn how to simplify the expression 6√(17x) - 8√(17x) step-by-step. This problem involves algebraic simplification of radical expressions, focusing on factoring out common terms and understanding basic arithmetic operations with square roots. Suitable for high school students.

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