## moongazer Explain why the sum, the difference, and the product of two rational numbers are rational numbers. Is the product of two irrational numbers necessarily irrational? What about the sum? one year ago one year ago

1. moongazer

-Because when you add and multiply rational numbers you will still obatain a fraction or ratio of two integers. -No -Yes Is this the best explanation?

2. ParthKohli

Yes.

3. moongazer

If not , please give me some hints :)

4. ParthKohli

If you need counter-proofs: 1) No counter-proof. 2) $$\rm i\times i = 1$$ 3) No counter-proof.