nevermind

2. Originally Posted by FamilyGuy34
If a and b are rational numbers, b does not equal zero, and r is an irrational number, then a+br is irrational.
Off the top of my head, this might be a way to start.

1) Assume a+br is Rational.

2) a + br = p/q where p and q are relatively prime integers.

Okay, we have not yet used the fact that a and b are Rational. That might be the next thing to ponder.

3. Originally Posted by TKHunny
Off the top of my head, this might be a way to start.

1) Assume a+br is Rational.

2) a + br = p/q where p and q are relatively prime integers.

Okay, we have not yet used the fact that a and b are Rational. That might be the next thing to ponder.