{"common":{"save":0,"post_id":"7807","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7496","post_id":"7807","mon_id":"1159278","chapter_id":"1159327","question":"<p>Gi&aacute; tr\u1ecb c\u1ee7a bi\u1ec3u th\u1ee9c&nbsp;<span class=\"math-tex\">$(\\sqrt{6}+\\sqrt{5})^2-\\sqrt{120}$<\/span>&nbsp;l&agrave;:<\/p>","options":["<strong>A.<\/strong> 21","<strong>B.<\/strong> 11","<strong>C.<\/strong> 0","<strong>D.<\/strong> <span class=\"math-tex\">$11\\sqrt{6}$<\/span>"],"correct":"2","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>B.<\/strong><\/span><span style=\"color:#16a085;\">&nbsp;11<\/span><\/p><p><span class=\"math-tex\">$(\\sqrt{6}+\\sqrt{5})^2-\\sqrt{120}$<\/span><\/p><p><span class=\"math-tex\">$=6+5+2.\\sqrt{6}.\\sqrt{5}-\\sqrt{4}.\\sqrt{30}$<\/span><\/p><p><span class=\"math-tex\">$=6+5+2\\sqrt{30}-2\\sqrt{30}$<\/span><\/p><p>= 11<\/p>","type":"choose","extra_type":"shape2","time":"0","user_id":"127","test":"0","date":"2024-10-10 01:35:31","option_type":"math","len":0},{"id":"7498","post_id":"7807","mon_id":"1159278","chapter_id":"1159327","question":"<p>K\u1ebft qu\u1ea3 c\u1ee7a&nbsp;ph&eacute;p t&iacute;nh&nbsp;<span class=\"math-tex\">$\\sqrt{\\dfrac{25}{(\\sqrt{3}-2)^2}}-\\sqrt{\\dfrac{16}{(\\sqrt{3}+2)^2}}$<\/span>&nbsp;l&agrave;:<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$9\\sqrt{3}+2$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$\\sqrt{3}-2$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$9\\sqrt{3}-2$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$-9\\sqrt{3}+2$<\/span>"],"correct":"1","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>A.<\/strong>&nbsp;<span class=\"math-tex\">$9\\sqrt{3}+2$<\/span><\/span><\/p><p><span class=\"math-tex\">$\\sqrt{\\dfrac{25}{(\\sqrt{3}-2)^2}}-\\sqrt{\\dfrac{16}{(\\sqrt{3}+2)^2}}$<\/span><\/p><p><span class=\"math-tex\">$=\\dfrac{\\sqrt{25}}{\\sqrt{(\\sqrt{3}-2)^2}}-\\dfrac{\\sqrt{16}}{\\sqrt{(\\sqrt{3}+2)^2}}$<\/span><\/p><p><span class=\"math-tex\">$=\\dfrac{5}{2-\\sqrt{3}}-\\dfrac{4}{2+\\sqrt{3}}$<\/span><\/p><p><span class=\"math-tex\">$=\\dfrac{5(2+\\sqrt{3})-4(2-\\sqrt{3})}{(2-\\sqrt{3})(2+\\sqrt{3})}$<\/span><\/p><p><span class=\"math-tex\">$=9\\sqrt{3}+2$<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-10 01:41:51","option_type":"math","len":0},{"id":"7499","post_id":"7807","mon_id":"1159278","chapter_id":"1159327","question":"<p>K\u1ebft qu\u1ea3 c\u1ee7a ph&eacute;p t&iacute;nh&nbsp;<span class=\"math-tex\">$\\dfrac{\\sqrt{10}+\\sqrt{6}}{2\\sqrt{5}+\\sqrt{12}}$<\/span> l&agrave;:<\/p>","options":["<strong>A.<\/strong> 2","<strong>B.<\/strong> <span class=\"math-tex\">$\\sqrt{2}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{3\\sqrt{2}}{2}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\dfrac{\\sqrt{2}}{2}$<\/span>"],"correct":"4","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>D.<\/strong>&nbsp;<span class=\"math-tex\">$\\dfrac{\\sqrt{2}}{2}$<\/span><\/span><\/p><p><span class=\"math-tex\">$\\dfrac{\\sqrt{10}+\\sqrt{6}}{2\\sqrt{5}+\\sqrt{12}} =\\dfrac{\\sqrt{2}.\\sqrt{5}+\\sqrt{2}.\\sqrt{3}}{2\\sqrt{5}+\\sqrt{4}.\\sqrt{3}}$<\/span><\/p><p><span class=\"math-tex\">$=\\dfrac{\\sqrt{2}.(\\sqrt{5}+\\sqrt{3})}{2.(\\sqrt{5}+\\sqrt{3})} =\\dfrac{\\sqrt{2}}{2}$<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-10 01:45:43","option_type":"math","len":0}]}