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Function: require_once

수학동아 - 폴리매스
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함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] 루트문제
PolymathJS 2019.04.24 09:22 조회 549
문제 푼 사람 0명
공유하기
페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

 A = \sqrt{\sqrt{[\sqrt{x}]}}, B = \sqrt{[\sqrt{\sqrt{x}}]}, C = [\sqrt{\sqrt{\sqrt{x}}}], x\geq 0이다. [x]는 x보다 크지 않은 최대의 정수를 뜻할때, A, B, C의 대소관계를 부등호를 사용하여 나타내어라.

이 문제 어떠셨나요?

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  •  
    PolymathJS Lv.5 2019.04.24 09:25

    공개댓글로 써주세요 (5월까지)

    댓글 작성하기 좋아요0 댓글수1
    •  
      code Lv.5 2019.05.02 19:09

      전부 같습니다.

      x=y2

      y=z2

      n=< 루트(z) < n+1 이라 가정합시다.

      A,B,C 를 차례대로 정리하면

      루트(루트([y])) 루트([z]) [루트(z)] 이고

      다시정리하면

      모두 n이 됩니다.

      따라서 A=B=C

      좋아요0
  •  
    뉴턴의 사과 Lv.1 2019.04.27 01:43

    에이급수학에 있던 문제로 기억하는데...

    댓글 작성하기 좋아요0 댓글수1
  •  
    sincostan Lv.7 2019.04.29 05:41

    저도 옛날에 A와 B만 가지고는 해봤어요.

    댓글 작성하기 좋아요0 댓글수0
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