Conditional statement: If a number is a real number, then the number is a irrational number.
\Hypothesis: a number is a real number.
\Conclusion: the number is a irrational number.
\The statement is false. The number is a counterexample, because
is a real number but it does not an irrational number.
Conditional statement: If a number is a real number, then the number is a irrational number and the statement is false.