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To express \(\frac{6}{\sqrt{28}}\) in its simplest form with a rational denominator, we need to rationalize the denominator.

### Step-by-Step Solution:
1. Start with the given expression:
   \[
   \frac{6}{\sqrt{28}}
   \]
2. Simplify the square root in the denominator:
   \[
   \sqrt{28} = \sqrt{4 \times 7} = \sqrt{4} \times \sqrt{7} = 2\sqrt{7}
   \]
   So the expression becomes:
   \[
   \frac{6}{2\sqrt{7}}
   \]
3. Simplify the fraction:
   \[
   \frac{6}{2\sqrt{7}} = \frac{3}{\sqrt{7}}
   \]
4. To rationalize the denominator, multiply both the numerator and denominator by \(\sqrt{7}\):
   \[
   \frac{3}{\sqrt{7}} \times \frac{\sqrt{7}}{\sqrt{7}} = \frac{3\sqrt{7}}{7}
   \]
   
Thus, the simplified form with a rational denominator is:
\[
\frac{3\sqrt{7}}{7}
\]

If you need any clarifications or further details, feel free to ask!

Here are 5 related questions to explore:
1. How do you simplify a fraction with a radical denominator?
2. What is the process of rationalizing a denominator?
3. How would you simplify \(\frac{8}{\sqrt{50}}\)?
4. Can all radicals be simplified in this manner?
5. Why is it important to have a rational denominator?

**Tip:** When simplifying radicals, always look for perfect square factors to make the process easier!

Express in simplest form with a rational denominator: 6 / √28

Learn how to simplify the expression 6/√28 by rationalizing the denominator with a step-by-step explanation. This guide covers key algebraic concepts and radical simplification suitable for Grades 8-10.

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