{"provider_name":"Hatena Blog","image_url":null,"width":"100%","type":"rich","height":"190","author_name":"derwind","author_url":"https://blog.hatena.ne.jp/derwind/","blog_url":"https://randommemory.hatenablog.com/","url":"https://randommemory.hatenablog.com/entry/2016/09/18/143812","description":"(1)\u5927\u6d3b\u8e8d\u306e $\\Q(\\sqrt{2},\\sqrt{3})$ \u3002 $X^2-3 \\in \\Q(\\sqrt{2})$ \u306f\u65e2\u7d04\u306a\u306e\u3067\u3001 $[\\Q(\\sqrt{2},\\sqrt{3}):\\Q] = [\\Q(\\sqrt{2})(\\sqrt{3}):\\Q(\\sqrt{2})] [\\Q(\\sqrt{2}):\\Q] = 4$ \u3067\u3042\u308b\u3002 $\\Q(\\sqrt{2}+\\sqrt{3}) \\subset \\Q(\\sqrt{2},\\sqrt{3})$ \u3067\u3042\u308b\u304c\u3001 $\\Q(\\sqrt{2}+\\sqrt{3})$ \u304cproper\u306a\u90e8\u5206\u4f53\u3067\u3042\u308c\u3070 $\\Q$ \u4e0a\u306e\u62e1\u5927\u6b21\u6570\u306f2\u3067\u3042\u308b\u3002\u3057\u304b\u3057 $\\Q[X]$ \u306e2\u6b21\u65b9\u7a0b\u5f0f\u306e\u6839\u2026","published":"2016-09-18 14:38:12","provider_url":"https://hatena.blog","version":"1.0","categories":["math-alg"],"title":"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(39)\u2015\u5177\u4f53\u4f8b","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","html":"<iframe src=\"https://hatenablog-parts.com/embed?url=https%3A%2F%2Frandommemory.hatenablog.com%2Fentry%2F2016%2F09%2F18%2F143812\" title=\"\u98fd\u304d\u305f\u3089\u3084\u3081\u3088\u3046Galois\u7406\u8ad6(39)\u2015\u5177\u4f53\u4f8b - \u3089\u3093\u3060\u3080\u306a\u8a18\u61b6\" class=\"embed-card embed-blogcard\" scrolling=\"no\" frameborder=\"0\" style=\"display: block; width: 100%; height: 190px; max-width: 500px; margin: 10px 0px;\"></iframe>"}