The ancient Greeks wondered when irrational numbers, like pi, can be represented with fractions. Two mathematicians now have a complete answer.

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

Mathematics students often encounter confusion when distinguishing between rational and irrational numbers. However, mastering this fundamental concept becomes straightforward once you understand ...

Irrational Numbers: Examples and Exceptions Irrational numbers, in contrast to rational numbers, are pretty complicated. As Wolfram MathWorld explains, they cannot be expressed by fractions, and when ...

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

Mathematics students often encounter confusion when distinguishing between rational and irrational numbers. However, mastering this fundamental concept becomes straightforward once you understand ...

Rational numbers can be expressed as the ratio of two integers, while irrational numbers, such as square roots of non-square numbers, cannot.