https://file.aiquickdraw.com/mathbot/file/1725489086684vb23o50s.jpg

The expression in the image is:

\[
4\sqrt{3} + 2\sqrt{3} - 6\sqrt{3}
\]

To simplify this expression, we can factor out the common term, which is \(\sqrt{3}\):

\[
(4 + 2 - 6)\sqrt{3}
\]

Now, simplify the coefficients:

\[
4 + 2 - 6 = 0
\]

So the expression simplifies to:

\[
0 \times \sqrt{3} = 0
\]

The correct simplification should result in \(0\), not \(\sqrt{3}\) as shown in the image.

Would you like further details or have any questions?

Here are 5 related questions for further exploration:
1. How do you combine like terms involving square roots?
2. What are some common mistakes made when simplifying radical expressions?
3. Can you simplify the expression \(\sqrt{18} + \sqrt{8}\)?
4. How does the distributive property apply to expressions with radicals?
5. What is the difference between simplifying and rationalizing a radical expression?

**Tip:** Always double-check your arithmetic when simplifying expressions, especially when combining like terms.

Simplify the expression 4√3 + 2√3 - 6√3.

Explore the process of simplifying the expression 4√3 + 2√3 - 6√3. This problem is ideal for students in Grades 8-10 and covers key algebraic concepts like combining like terms and simplifying radicals.

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