Question :- if r is rational and s is irrational, then r + s and r - s are irrational numbers, and rs and r/s are irrational numbers, r ≠ 0.
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The sum of two irrational numbers is SOMETIMES irrational."
The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.
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