Answer :

Let's break down the problem step-by-step to find the product [tex]\( 4(3 \times \sqrt{11}) \)[/tex].

1. Identify the components inside the parentheses:
- Here, we have [tex]\( 3 \times \sqrt{11} \)[/tex].

2. Calculate [tex]\( 3 \times \sqrt{11} \)[/tex]:
- Given from the detailed calculations, we know [tex]\( 3 \times \sqrt{11} \)[/tex] is approximately [tex]\( 9.9498743710662 \)[/tex].

3. Multiply the result by 4:
- Now, we take the intermediate result, [tex]\( 9.9498743710662 \)[/tex], and multiply it by 4.

So,
[tex]\[ 4 \times 9.9498743710662 = 39.7994974842648 \][/tex]

Therefore, the product of [tex]\( 4(3 \times \sqrt{11}) \)[/tex] is [tex]\( 39.7994974842648 \)[/tex].

The correct answer is:
[tex]\[ 39.7994974842648 \][/tex]