To find the value of the expression [tex]\(2 \sqrt{3}\)[/tex], follow these steps:
1. Understand the components:
- The expression consists of a multiplication factor [tex]\(2\)[/tex] and the square root of [tex]\(3\)[/tex].
2. Calculate the square root of 3:
- The square root of 3 is an irrational number. Its approximate value is:
[tex]\[
\sqrt{3} \approx 1.7320508075688772
\][/tex]
3. Multiply by 2:
- Now, take the approximate value of [tex]\(\sqrt{3}\)[/tex] and multiply it by [tex]\(2\)[/tex]:
[tex]\[
2 \times 1.7320508075688772 \approx 3.4641016151377544
\][/tex]
So, the value of the expression [tex]\(2 \sqrt{3}\)[/tex] is approximately [tex]\(3.4641016151377544\)[/tex].
