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The 29 pages that link to Irrational number, each with the reason it gives.

• Real numberRelated: Irrational numbers fill the real line beyond the rational numbers.

• Algebraic numberRelated: Irrationality does not imply transcendence: many irrational numbers are algebraic.

• Continued fractionRelated: Infinite simple continued fractions represent irrational numbers.

• Transcendental numberRelated: Irrationality is necessary for real transcendence but does not establish it.

• Decimal expansionRelated: Irrational numbers have nonterminating decimal expansions that never repeat periodically.

• Dedekind cutRelated: A cut can represent an irrational value even when no rational equals its boundary.

• Uncountable setRelated: The irrational numbers form an uncountable subset of the real numbers.

• Dirichlet's approximation theoremRelated: For irrationals, the theorem yields approximations with unbounded denominators and error below the reciprocal square.

• Completeness of the real numbersRelated: Irrational numbers fill gaps that remain when only rational numbers are allowed.

• Edmonds–Karp algorithmRelated: Unlike arbitrary Ford–Fulkerson path choices, Edmonds–Karp still terminates with irrational capacities.

• Transcendence theoryRelated: Every transcendental real is irrational, but many irrational numbers are algebraic.

• Gelfond–Schneider theoremRelated: The algebraic exponent must be irrational, excluding rational powers.

• Abu KamilRelated: Abu Kamil accepted irrational quantities in calculations where earlier algebraists had been more restrictive.

• Equidistribution theoremRelated: Irrationality is the condition that makes the multiples avoid periodic repetition.