Answer
This statement is false.
Work Step by Step
This statement is false.
Claim: The difference of any two irrational numbers is irrational.
Counterexample: Let r = π and s = π, then r – s = π – π = 0.
By definition of rational, r – s = 0 is rational (since it can be expressed as a quotient, such as 0/1).
This contradicts the statement and demonstrates that the difference of any two irrational numbers is not irrational.
