Let's simplify the expression \(2(\sqrt{3} - 3) - 6\).

1. Distribute the 2 inside the parentheses:
   \[
   2 \times \sqrt{3} - 2 \times 3 = 2\sqrt{3} - 6
   \]

2. Now combine the terms with the -6 outside the parentheses:
   \[
   2\sqrt{3} - 6 - 6 = 2\sqrt{3} - 12
   \]

Therefore, the simplified form of the expression \(2(\sqrt{3} - 3) - 6\) is:
\[
2\sqrt{3} - 12
\]

Would you like more details or have any questions?

Here are 5 numbered questions you might ask:

1. How do you distribute a number over an expression inside parentheses?
2. Can you explain the properties of square roots?
3. How do you combine like terms in algebraic expressions?
4. What are some techniques for simplifying radical expressions?
5. How do you solve equations involving square roots?

**Tip:** When working with expressions involving square roots, always ensure you distribute and combine like terms carefully to avoid mistakes.

Learn how to simplify the expression 2 times the quantity square root of 3 minus 3, all minus 6. Follow a step-by-step solution with explanations of algebraic simplification and the distributive property. Suitable for students in Grades 7-9.

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