Answer:
Option 2 - square root 5, 5 over 2, 2.71 repeating 71, 2 and 3 over 4.
Step-by-step explanation:
Given : Numbers 2.71 repeating 71, 2 and 3 over 4, square root 5, 5 over 2
To find : Order the set of numbers from least to greatest ?
Solution :
First we write numbers in one form i.e. in decimals,
2.71 repeating 71 = 
2 and 3 over 4 = 
square root 5 = 
5 over 2 = 
Arranging from least to greatest,

or 
or square root 5, 5 over 2, 2.71 repeating 71, 2 and 3 over 4.
Therefore, Option 2 is correct.