Irrational numbers are real numbers that cannot be expressed as a fraction of two integers, meaning they cannot be represented as a simple ratio. These numbers have non-repeating, non-terminating decimal expansions, which distinguishes them from rational numbers. Irrational numbers play a key role in various mathematical concepts, including the completeness of the real number system and the nature of infinity in relation to cardinality.
congrats on reading the definition of Irrational Numbers. now let's actually learn it.