Respuesta :

Change them all into decimals first.

Square root of 5 (2.236)
5/2 (2.5)
2.7111111
2 3/4 (2.75)

Answer:

Square root of 5 < 5 over 2 < 2.71 repeating 71  < 2 and 3 over 4

Step-by-step explanation:

Numbers are the mathematical objects which are used to count and measure.

Given Numbers : 2.717171...

2 and 3 over 4 = [tex]2+\frac{3}{4}=\frac{11}{4}=2.75[/tex]

Square root of 5 = 2.24

5 over 2 = [tex]\frac{5}{2}=2.5[/tex]

We need to order the set of numbers from least to greatest .

Among numbers 2.717171... and 2.75 , digits at ones and tenths place are same , so will compare digits at hundredth place . 1 < 5

So, 2.717171... < 2.75 .Also, digit at tenths place of 2.24 is less than digit at tenth place of 2.5, so , 2.24 < 2.5

Here, [tex]2.24< 2.5< 2.717171...< 2.75[/tex]

So, square root of 5 < 5 over 2 < 2.71 repeating 71  < 2 and 3 over 4 .