Alright, let's work through the question step-by-step to solve for the value of [tex]\(2 \sqrt{3}\)[/tex].
1. Identify the Components: We're given an expression [tex]\(2 \sqrt{3}\)[/tex].
2. Understand the Square Root: The square root of 3, denoted [tex]\(\sqrt{3}\)[/tex], is an irrational number which is approximately equal to 1.732.
3. Multiply by 2: We need to multiply this square root by 2 to get the final value.
4. Calculation:
- Start with [tex]\(\sqrt{3} \approx 1.732\)[/tex].
- Multiply it by 2:
[tex]\[
2 \times 1.732 = 3.464
\][/tex]
5. Conclusion: Therefore, the value of [tex]\(2 \sqrt{3}\)[/tex] is approximately [tex]\(3.4641016151377544\)[/tex].
This step-by-step multiplication of 2 by the square root of 3 gives the result.
