https://file.aiquickdraw.com/mathbot/file/17260833886568gqnxmlm.jpg

The expression given is:

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

Let's simplify this step by step:

1. We know that \(\sqrt{12}\) can be simplified. Since \(\sqrt{12} = \sqrt{4 \times 3} = \sqrt{4} \times \sqrt{3} = 2\sqrt{3}\), the expression becomes:

\[
4\sqrt{3} - 2\sqrt{3}
\]

2. Now, combine the like terms:

\[
(4 - 2)\sqrt{3} = 2\sqrt{3}
\]

So, the simplified expression is:

\[
2\sqrt{3}
\]

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

Here are five related questions:
1. How do you simplify square roots involving prime factorization?
2. What happens when the coefficients of radicals are negative?
3. How do you add or subtract terms involving square roots?
4. Can \(\sqrt{12}\) be simplified in a different way?
5. What is the next step if you have \(x\sqrt{3} - y\sqrt{5}\)?

**Tip:** Always simplify square roots by factoring out perfect squares for easier calculations.

This problem involves simplifying the expression 4√3 - √12 by breaking down radicals and combining like terms. Learn how to factor and simplify square roots in a step-by-step solution suitable for students in Grades 7-9.

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