Respuesta :

sqrt(31) cannot be written as the ratio of two integers, and thus is irrational.

Answer:

[tex]\sqrt{31}[/tex]

Step-by-step explanation:

A.[tex]-5 \frac{4}{11} =\frac{-59}{11}[/tex]

Since it in in p/q form so it is a rational number

B. [tex]\sqrt{31} =5.5677643.......[/tex]

Since it cannot be represented in the form of p/q . So, it is irrational number .

C. 7.608

[tex]\frac{7608}{1000}[/tex]  

Since it can be represented in p/q form . So, it is rational number.

D. 18.46...

18.4666.. Since 6 is repeating in decimal place . So, 18.46.. can be written in p/q form .

Hence Option B sqrt of 31 is not a rational number .