Answer:
The first answer is correct:
[tex]\{\frac{1}{3},-3.45,\sqrt{9}\}[/tex]
Step-by-step explanation:
Since [tex]\frac{1}{3}, -3.45, \sqrt{9}=3[/tex] are all rational numbers, the set that contains those numbers is the set of rational numbers.
In the second set, number [tex]\sqrt{37}[/tex] is irrational number since it can not be written as quotient.
Also in the third and fourth set, numbers [tex]\sqrt{44}[/tex] and [tex]\sqrt{2}[/tex] are irrational numbers.
Therefore, the first answer is correct.
