Because every transcendental number is irrational, any proof showing that pi is transcendental also proves that pi is irrational.

Without the theorem of the excluded middle, all kinds of difficulties arise. In fact, many mathematical proofs are based on ...

It is impossible to calculate pi's exact value because it is an irrational number. Pi is the most famous irrational number. People can calculate its value to many decimal places.

Because every transcendental number is irrational, any proof showing that pi is transcendental also proves that pi is irrational. — Will we ever have quantum laptops? — Who was the first cyborg?