Question

Which of the following are rational numbers select all the correct answers

Answer 1

The rational number is the number that can be put in the form a/b, where b is not equal to zero

`(a)/(b),b\\e0\rightarrow Rational\text{ number}`

Note that: Repeated decimals are a rational numbers

The given numbers are

`\begin{gathered} 0.717117111...\rightarrow(1) \\ 0.0505505550...\rightarrow(2) \\ 0.62626262...\rightarrow(3) \\ 4.8\rightarrow(4) \\ √(13)\rightarrow(5) \end{gathered}`

(1) is not a rational number because we can not put it in the form of the fraction

(2) is not a rational number because we can not put it in the fraction form

(3) is a rational number because it is a repeating decimal

(4) is a rational number because we can put it in the form of the fraction (48/10)

(5) is not a rational number because all the square roots of non square numbers are irrational numbers.

The answers are:

(3) and (4)

0.62626262..

4.8