Certainly! Let's break down the expression [tex]\(6 \sqrt{14} + 2\)[/tex] step-by-step.
1. Calculating [tex]\(\sqrt{14}\)[/tex]:
- First, we find the square root of 14. The square root of 14 is approximately [tex]\(3.7416573867739413\)[/tex].
2. Multiplying by 6:
- Next, we take the result from step 1 and multiply it by 6.
- So, [tex]\(6 \times 3.7416573867739413 = 22.44994432064365\)[/tex].
3. Adding 2:
- Finally, we add 2 to the result from step 2.
- Therefore, [tex]\(22.44994432064365 + 2 = 24.44994432064365\)[/tex].
Hence, the value of the expression [tex]\(6 \sqrt{14} + 2\)[/tex] is approximately [tex]\(24.44994432064365\)[/tex].