Answer:
No.
Step-by-step explanation:
[tex]x[/tex] and [tex]y[/tex] could be irrational and [tex]x+y[/tex] be rational.
Example:
Let [tex]x=\sqrt{2}[/tex] and [tex]y=-\sqrt{2}[/tex].
And [tex]x+y=\sqrt{2}+-\sqrt{2}=0[/tex] and 0 is rational.
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
