Answer:
Option (2)
Step-by-step explanation:
We have to arrange the given numbers in the order from least to greatest.
Numbers are [tex]\sqrt{64},8\frac{1}{7},8.1414..., \frac{15}{2}[/tex]
1). [tex]\sqrt{64}=8[/tex]
2). [tex]8\frac{1}{7}=\frac{57}{7}=8.143[/tex]
3). 8.1414....
4). [tex]\frac{15}{2}=7.5[/tex]
Therefore, increasing order of the numbers will be,
[tex]8.143>8.1414>8>7.5[/tex]
[tex]8\frac{1}{7}>8.1414...>8>7.5[/tex]
Option (2) will be the correct option.