How can this be broken up into a math statement?

Question

I'm trying to solve this question: "Prove or disprove that the product of two irrational numbers is irrational" but I am having trouble breaking this question up into a math statement.

Is an appropriate statement "If a and b are irrational, then ab is irrational"?

Answer 1

Yes, that is a correct formulation of the statement you need to prove or disprove.

What do you think? Is the statement true or false?

Answer 2

Yes, that is an appropriate statement. In fact, that is a good proposition with which to begin a proof by way of reductio ad absurdum.