I need help please and thank you

Ineed ! the person who answers and shows their work on they got the answer first will be marked the !

Which of the following are accepted without proof in a logical system? check all that apply.

Is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis.