Answer:
Yes, both can be rational numbers.
Step-by-step explanation:
The sum of two irrationals can be rational.
Example:
[tex]\sqrt{2}[/tex] is irrational,
and so is [tex]1 + \sqrt{2}[/tex] and [tex]1 - \sqrt{2}[/tex]
[tex](\sqrt{2}+1) + (\sqrt{2}-1) = 2[/tex]
The sum is rational because the irrational numbers can cancel out.
The quotient of two irrational numbers can also be rational.
Example:
[tex]\sqrt{2}[/tex] is irrational.
[tex]\frac{\sqrt{2} }{\sqrt{2} } = 1[/tex]
