To solve the expression [tex]\(\left(\frac{\sqrt{7}}{3}\right)+\left(\frac{12}{7}\right)\)[/tex], let's break it down into detailed steps:
1. Compute [tex]\(\frac{\sqrt{7}}{3}\)[/tex]:
- First, find the value of [tex]\(\sqrt{7}\)[/tex]. The square root of 7 is approximately 2.6457513110645906.
- Next, divide this value by 3 to get [tex]\(\frac{\sqrt{7}}{3}\)[/tex]:
[tex]\[
\frac{\sqrt{7}}{3} \approx \frac{2.6457513110645906}{3} \approx 0.8819171036881969
\][/tex]
2. Compute [tex]\(\frac{12}{7}\)[/tex]:
- Divide 12 by 7:
[tex]\[
\frac{12}{7} \approx 1.7142857142857142
\][/tex]
3. Add the two results:
- Now, add the values obtained from steps 1 and 2:
[tex]\[
0.8819171036881969 + 1.7142857142857142 \approx 2.596202817973911
\][/tex]
So, the value of the expression [tex]\(\left(\frac{\sqrt{7}}{3}\right)+\left(\frac{12}{7}\right)\)[/tex] is approximately [tex]\(2.596202817973911\)[/tex].
