Step-by-step explanation:
-5 4/11 = -59/4 , this is a fraction and all the fractions are rational numbers
√31 is not rational number
7.608 = 7608/10000, this is a rational number
18.466666... = 277/15, this is a rational number
The number, option (B) √31 is not a rational number.
A rational number can be defined as any number which can be represented in the form of p/q where q ≠ 0. It can be made by dividing an integer by an integer.
For the given situation,
The number is a rational number when it is in the form of fraction as [tex]\frac{p}{q}[/tex].
The options are
a) -5 4/11
⇒ [tex]-5\frac{4}{11}=-\frac{59}{11}[/tex]
The number is expressed in fraction. So it is a rational number.
b) √31
The number cannot be expressed in fraction. So it is not a rational number.
c) 7.608
⇒ [tex]7.608=\frac{7608}{1000}[/tex]
The number is expressed in fraction. So it is a rational number.
d) 18.46 repeating
⇒ [tex]18.4666666667=\frac{277}{15}[/tex]
The number is expressed in fraction. So it is a rational number.
Hence we can conclude that the number, option (B) √31 is not a rational number.
Learn more about rational numbers here
https://brainly.com/question/19161857
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