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Simplify the following expression:

[tex]\[2 \sqrt{3}\][/tex]


Sagot :

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].