@prefix concept: <https://w3id.org/kmath/concept/> .
@prefix course: <https://w3id.org/kmath/course/> .
@prefix math: <https://w3id.org/kmath/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix review_status: <https://w3id.org/kmath/review_status/> .
@prefix scheme: <https://w3id.org/kmath/scheme/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix textbook_section: <https://w3id.org/kmath/textbook_section/> .

concept:nth_root_properties a math:Concept ;
    rdfs:label "거듭제곱근의 성질"@ko ;
    skos:broader concept:nth_root ;
    skos:definition "a > 0, b > 0이고 m, n이 2 이상의 자연수일 때 ⁿ√a·ⁿ√b = ⁿ√(ab), ⁿ√a / ⁿ√b = ⁿ√(a/b), (ⁿ√a)^m = ⁿ√(a^m), ᵐ√(ⁿ√a) = ᵐⁿ√a, ⁿᵖ√(a^(mp)) = ⁿ√(a^m)(p는 자연수)가 성립하고, a < b이면 ⁿ√a < ⁿ√b이다. 또 실수 a에 대하여 ⁿ√(aⁿ)은 n이 홀수이면 a, 짝수이면 |a|이다."@ko ;
    skos:editorialNote "2026-09-28 GRIP 대수 개념서와 시발점 워크북 대수가 독립된 학습 항목으로 다루는 것을 근거로 추가했다. 도메인 전문가 검토가 필요하다."@ko ;
    skos:inScheme scheme:concepts ;
    skos:prefLabel "properties of nth roots"@en,
        "거듭제곱근의 성질"@ko ;
    math:introducedIn course:algebra ;
    math:requires concept:exponent_law,
        concept:real_nth_root ;
    math:requiresTransitively concept:exponent_law,
        concept:integer,
        concept:nth_root,
        concept:power,
        concept:rational_number,
        concept:real_nth_root,
        concept:square_root ;
    math:reviewStatus review_status:needs_review ;
    math:sourceSection textbook_section:grip_algebra_01_03_nth_root_properties,
        textbook_section:sibaljeom_workbook_algebra_theme01_nth_roots ;
    math:taughtIn course:algebra .