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To simplify the expression \(-\sqrt{68}/100\), we can break it down as follows:

1. **Simplify the square root**:  
   The square root of 68 can be simplified by factoring out perfect squares.  
   \[
   \sqrt{68} = \sqrt{4 \times 17} = \sqrt{4} \times \sqrt{17} = 2\sqrt{17}
   \]
   So the expression becomes:
   \[
   -\frac{2\sqrt{17}}{100}
   \]

2. **Reduce the fraction**:  
   We can simplify \(\frac{2}{100}\) by dividing both the numerator and denominator by 2:
   \[
   -\frac{2\sqrt{17}}{100} = -\frac{\sqrt{17}}{50}
   \]

Thus, the simplified expression is:
\[
-\frac{\sqrt{17}}{50}
\]

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

Here are five related questions:
1. How do you simplify square roots of larger numbers?
2. What is the process for simplifying complex fractions?
3. How do you rationalize a denominator with a square root?
4. How can we simplify expressions involving cube roots?
5. What are the rules for adding and subtracting radical expressions?

**Tip**: Always check for perfect square factors when simplifying square roots.

Learn how to simplify the expression -√68/100 with detailed steps. This guide covers breaking down the square root into factors and reducing fractions, suitable for Grades 8-10 students learning about radicals and algebraic simplifications.

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