Question

If x+y is rational,must x and y each br rational?

Answer 1

Answer:

No

Step-by-step explanation:

No.

Let x=pi. Pi is irrational.

Let y=1-pi.

Both x and y are thus irrational.

But x+y=1, a rational nimber

Answer 2

Answer:

No.

Step-by-step explanation:

$x$ and $y$ could be irrational and $x+y$ be rational.

Example:

Let $x=\sqrt{2}$ and $y=-\sqrt{2}$.

And $x+y=\sqrt{2}+-\sqrt{2}=0$ and 0 is rational.