{"id":1024,"date":"2019-05-25T18:47:57","date_gmt":"2019-05-25T22:47:57","guid":{"rendered":"http:\/\/josmfs.net\/?p=1024"},"modified":"2024-04-10T18:15:11","modified_gmt":"2024-04-10T22:15:11","slug":"radical-radicals","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/05\/25\/radical-radicals\/","title":{"rendered":"Radical Radicals"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1021\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/05\/Radical-Radicals-fig.jpg\" alt=\"\" width=\"190\" height=\"91\" \/>This is another UKMT Senior Challenge problem, but for the year 2005. I thought it was diabolical and hadn\u2019t a clue how to solve it. Even after reading the solution, I don\u2019t think I could have come up with it. I take my hat off to anyone who solves it.<\/p>\n<p>\u201cWhich of the following is equal to<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1022 aligncenter\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/05\/Radical-Radicals-Stmtl.jpg\" alt=\"\" width=\"155\" height=\"52\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/05\/Radical-Radicals-Stmtl.jpg 341w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/05\/Radical-Radicals-Stmtl-300x100.jpg 300w\" sizes=\"auto, (max-width: 155px) 100vw, 155px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1020 aligncenter\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/05\/Radical-Radicals-Ans.jpg\" alt=\"\" width=\"452\" height=\"60\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/05\/Radical-Radicals-Ans.jpg 1014w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/05\/Radical-Radicals-Ans-300x40.jpg 300w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/05\/Radical-Radicals-Ans-768x101.jpg 768w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/05\/Radical-Radicals-Ans-624x82.jpg 624w\" sizes=\"auto, (max-width: 452px) 100vw, 452px\" \/><\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Radical-Radicals-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/05\/Radical-Radicals-190525.pdf\">Radical Radicals<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is another UKMT Senior Challenge problem, but for the year 2005. I thought it was diabolical and hadn\u2019t a clue how to solve it. Even after reading the solution, I don\u2019t think I could have come up with it. I take my hat off to anyone who solves it. \u201cWhich of the following is [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[133],"class_list":["post-1024","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1024","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=1024"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1024\/revisions"}],"predecessor-version":[{"id":3833,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1024\/revisions\/3833"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1024"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1024"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1024"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}