The expression \( 2 \cdot \sqrt{3} \) represents the product of 2 and the square root of 3.

To approximate it numerically:
\[
2 \cdot \sqrt{3} \approx 2 \cdot 1.732 = 3.464
\]

So, \( 2\cdot \sqrt{3} \approx 3.464 \).

Would you like more details on this or have any questions?

Here are 5 related questions:
1. What is the value of \( 3 \cdot \sqrt{2} \)?
2. How do you simplify expressions involving square roots?
3. Can you explain why \( \sqrt{9} = 3 \)?
4. What is the value of \( \sqrt{2} + \sqrt{3} \)?
5. How can you rationalize the denominator in the fraction \( \frac{1}{\sqrt{3}} \)?

**Tip**: Remember that when multiplying a number by a square root, treat the square root as an irrational number unless it's a perfect square!

Learn how to simplify the expression 2√3 and find its approximate value. This solution breaks down the multiplication of a constant with a square root, covering key concepts in algebra and radicals. Suitable for students in Grades 6-8.

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