To find the sum of [tex]\(\frac{1}{6}\)[/tex] and [tex]\(\sqrt{6}\)[/tex], let’s break this problem down step by step.
1. Calculate [tex]\(\frac{1}{6}\)[/tex]:
[tex]\[
\frac{1}{6} = 0.16666666666666666
\][/tex]
2. Calculate [tex]\(\sqrt{6}\)[/tex]:
[tex]\[
\sqrt{6} = 2.449489742783178
\][/tex]
3. Add the two results together:
[tex]\[
0.16666666666666666 + 2.449489742783178 = 2.6161564094498444
\][/tex]
Therefore, the sum of [tex]\(\frac{1}{6}\)[/tex] and [tex]\(\sqrt{6}\)[/tex] is:
[tex]\[
2.6161564
\][/tex]
So, the correct answer is [tex]\(2.6161564\)[/tex].
