An irrational number is a real number that cannot be expressed as a simple fraction p/q where p and q are integers and q ≠ 0.

In decimal form, irrational numbers have non-repeating and non-terminating expansions. Examples include π ≈ 3.14159... and √2 ≈ 1.41421... .

This tool utilizes a fundamental theorem of arithmetic: the product of any non-zero rational number and an irrational number is always irrational.