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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.

• Rational numberCompared with: Its decimal expansion neither terminates nor eventually repeats.

• IntegerCompared with: Irrational numbers lie outside the integers and even outside the rationals.

• DivisibilityCompared with: It lies outside the integer domain where the usual divisibility relation is defined.

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

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

• PiNarrower topic: Pi’s decimal expansion neither terminates nor repeats.

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

• Golden ratioNarrower topic: The golden ratio has a nonterminating, nonrepeating decimal expansion.

• Diophantine approximationCompared with: Irrational targets cannot be matched exactly by rational approximants.

• Cantor's diagonal argumentBroader topic: The interval used in the proof contains irrational numbers as well as rational ones.

• Joseph LiouvilleNarrower topic: Liouville’s approximation result applies to algebraic irrational numbers and separates them from his examples.

• 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.

• Number lineBroader topic: Irrational values occupy precise positions despite having nonterminating decimal expansions.

• Johann Heinrich LambertNarrower topic: Lambert’s proof placed π among numbers that no fraction can represent exactly.

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

• Repeating decimalCompared with: Its decimal expansion neither terminates nor becomes periodic.

• Euler–Mascheroni constantCompared with: Unlike many familiar constants, γ has no known proof of irrationality.

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

• Number (mathematics)Compared with: Irrationals distinguish the real numbers from the rational numbers.

• 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.

• Square root of 2Narrower topic: Its decimal expansion never terminates or repeats, and no such ratio equals it.

• Proof that π is irrationalNarrower topic: The proof places π in this broader class of real numbers.