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To simplify the given expression \(\frac{7}{\sqrt{12}}\) and express it with a rational denominator, we need to rationalize the denominator. Here's the step-by-step process:

### Step 1: Simplify the square root.
\[
\sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}
\]
Thus, the expression becomes:
\[
\frac{7}{\sqrt{12}} = \frac{7}{2\sqrt{3}}
\]

### Step 2: Rationalize the denominator.
To get rid of the square root in the denominator, multiply both the numerator and the denominator by \(\sqrt{3}\):
\[
\frac{7}{2\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{7\sqrt{3}}{2 \times 3} = \frac{7\sqrt{3}}{6}
\]

### Final answer:
\[
\frac{7\sqrt{3}}{6}
\]

So, \(\frac{7}{\sqrt{12}}\) simplifies to \(\frac{7\sqrt{3}}{6}\).

Would you like further explanation or details on any part of the solution? 

Here are five related questions you might explore:
1. How do you simplify a square root involving multiplication?
2. What does it mean to rationalize a denominator, and why is it done?
3. Can you express \(\frac{7\sqrt{3}}{6}\) in decimal form?
4. What are other examples where rationalizing the denominator is necessary?
5. How would the process change if the denominator was \(\sqrt{18}\) instead?

**Tip**: Rationalizing the denominator is a common practice in simplifying expressions to make them easier to work with in further calculations.

Express in simplest form with a rational denominator: \(\frac{7}{\sqrt{12}}\)

Learn how to simplify the expression \(\frac{7}{\sqrt{12}}\) by rationalizing the denominator. Follow the step-by-step process to convert the radical to a rational form, covering key concepts like simplification and properties of square roots. Suitable for Grades 8-10.

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