{"common":{"save":0,"post_id":"7801","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7494","post_id":"7801","mon_id":"1159278","chapter_id":"1159327","question":"<p>T&iacute;nh gi&aacute; tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c C =&nbsp;<span class=\"math-tex\">$\\sqrt{3+2\\sqrt{2}}-\\sqrt{7+2.\\sqrt{5}.\\sqrt{2}}$<\/span>.<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$1+\\sqrt{5}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$1-\\sqrt{5}$<\/span>","<strong>C. <\/strong><span class=\"math-tex\">$\\sqrt{2}+\\sqrt{5}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$1-\\sqrt{2}$<\/span>"],"correct":"2","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>B.<\/strong>&nbsp;<span class=\"math-tex\">$1-\\sqrt{5}$<\/span>.<\/span><\/p><p>C =&nbsp;<span class=\"math-tex\">$\\sqrt{3+2\\sqrt{2}}-\\sqrt{7+2.\\sqrt{5}.\\sqrt{2}}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\sqrt{(\\sqrt{2}+1)^2}-\\sqrt{(\\sqrt{5}+\\sqrt{2})^2}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$|\\sqrt{2}+1|-|\\sqrt{5}+\\sqrt{2}|$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\sqrt{2}+1-\\sqrt{5}-\\sqrt{2}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$1-\\sqrt{5}$<\/span>.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-10 01:29:40","option_type":"math","len":0},{"id":"7497","post_id":"7801","mon_id":"1159278","chapter_id":"1159327","question":"<p>Khi x =&nbsp;<span class=\"math-tex\">$\\sqrt{2}$<\/span>&nbsp;th&igrave; gi&aacute; tr\u1ecb c\u1ee7a M =&nbsp;<span class=\"math-tex\">$\\sqrt{(x-\\sqrt{3})^2}+\\sqrt{2}$<\/span>&nbsp;b\u1eb1ng&nbsp;<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\sqrt{3}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\sqrt{2}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$2\\sqrt{2}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\sqrt{3}-\\sqrt{2}$<\/span>"],"correct":"1","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$\\sqrt{3}$<\/span>.<\/span><\/p><p>Thay x =&nbsp;<span class=\"math-tex\">$\\sqrt{2}$<\/span>&nbsp;v&agrave;o M ta \u0111\u01b0\u1ee3c<\/p><p>M =&nbsp;<span class=\"math-tex\">$\\sqrt{(\\sqrt{2}-\\sqrt{3})^2}+\\sqrt{2}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$|\\sqrt{2}-\\sqrt{3}|+\\sqrt{2}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\sqrt{3}-\\sqrt{2}+\\sqrt{2}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\sqrt{3}$<\/span>.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-10 01:39:11","option_type":"math","len":0},{"id":"7501","post_id":"7801","mon_id":"1159278","chapter_id":"1159327","question":"<p>T&iacute;nh&nbsp;<span class=\"math-tex\">$\\sqrt{\\sqrt{5}-\\sqrt{3-\\sqrt{29-12\\sqrt{5}}}}$<\/span>.<\/p>","options":["<strong>A.<\/strong> 4","<strong>B.<\/strong> 3","<strong>C.<\/strong> 2","<strong>D.<\/strong> 1"],"correct":"4","level":"3","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>D.<\/strong> 1.<\/span><\/p><p>V&igrave;&nbsp;<span class=\"math-tex\">$\\sqrt{29-12\\sqrt{5}}$<\/span>&nbsp;=&nbsp;<span class=\"math-tex\">$\\sqrt{(2\\sqrt{5})^2-2.2\\sqrt{5}.3+3^2}$<\/span>&nbsp;=&nbsp;<span class=\"math-tex\">$\\sqrt{(2\\sqrt{5}-3)^2}$<\/span>&nbsp;=&nbsp;<span class=\"math-tex\">$|2\\sqrt{5}-3|$<\/span>&nbsp;=&nbsp;<span class=\"math-tex\">$2\\sqrt{5}-3$<\/span><\/p><p>n&ecirc;n&nbsp;<span class=\"math-tex\">$\\sqrt{\\sqrt{5}-\\sqrt{3-\\sqrt{29-12\\sqrt{5}}}}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\sqrt{\\sqrt{5}-\\sqrt{3-2\\sqrt{5}+3}}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\sqrt{\\sqrt{5}-\\sqrt{6-2\\sqrt{5}}}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\sqrt{\\sqrt{5}-\\sqrt{(\\sqrt{5}-1)^2}}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\sqrt{\\sqrt{5}-|\\sqrt{5}-1|}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\sqrt{\\sqrt{5}-\\sqrt{5}+1}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\sqrt{1}$<\/span><\/p><p>= 1.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-10 01:46:52","option_type":"txt","len":0}]}