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.