Let's simplify the expression:

\[
\frac{\sqrt{3}}{\sqrt{12}} - \sqrt{3}
\]

### Step 1: Simplify \(\frac{\sqrt{3}}{\sqrt{12}}\)
First, simplify the square root of 12:

\[
\sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}
\]

So:

\[
\frac{\sqrt{3}}{\sqrt{12}} = \frac{\sqrt{3}}{2\sqrt{3}} = \frac{1}{2}
\]

### Step 2: Rewrite the expression
Now, substitute the simplified fraction back into the expression:

\[
\frac{1}{2} - \sqrt{3}
\]

### Final Answer:
\[
\frac{1}{2} - \sqrt{3}
\]

Would you like more details on this solution or have any questions?

Here are 5 related questions to expand on this concept:
1. How do you rationalize square root expressions?
2. What is the difference between simplifying and rationalizing a fraction with square roots?
3. How can you simplify a square root with a non-perfect square under the radical?
4. What happens when you subtract or add terms involving square roots?
5. How do you handle expressions with multiple square roots in the numerator and denominator?

**Tip:** Always look for common factors inside a square root to simplify it first!

Learn how to simplify the expression √3/√12 - √3 with step-by-step guidance. This problem covers key mathematical concepts such as simplifying square roots, radicals, and subtracting terms involving square roots. Ideal for students in Grades 8-10.

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