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The expression \( \sqrt{3} \left( -2 + \sqrt{5} \right) \) cannot be simplified further in terms of exact radicals. The most simplified form is:

\[
\sqrt{3} \left( -2 + \sqrt{5} \right)
\]

If you would like, I can provide a decimal approximation as well. Would you like more details or have any other questions?

Here are 5 related questions for you to explore:
1. How do you simplify expressions involving radicals?
2. What is the significance of conjugates in simplifying radical expressions?
3. How do you rationalize a denominator involving radicals?
4. What is the decimal approximation of this radical expression?
5. How do you simplify the product of two different square roots?

**Tip:** When working with radicals, try to check if there's a common factor inside the radical that you can extract to simplify further.

Simplify the radical expression \( \sqrt{3} \left( -2 + \sqrt{5} \right) \)

Learn how to simplify the radical expression \( \sqrt{3} \left( -2 + \sqrt{5} \right) \). This problem explores radical simplification techniques and square root properties. Suitable for high school students in Grades 9-12.

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