{"common":{"save":0,"post_id":"7813","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7586","post_id":"7813","mon_id":"1159278","chapter_id":"1159327","question":"<p><span class=\"math-tex\">$\\sqrt[3]{\\dfrac{-27}{512}}+\\dfrac{1}{8}\\sqrt[3]{64}+\\dfrac{5}{8}\\sqrt[3]{-0,064}$<\/span>&nbsp;=<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\dfrac{5}{8}$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$-\\dfrac{5}{8}$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\dfrac{1}{8}$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$-\\dfrac{1}{8}$<\/span>"],"correct":"4","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>D.<\/strong>&nbsp;<span class=\"math-tex\">$-\\dfrac{1}{8}$<\/span>.<\/span><\/p><p><span class=\"math-tex\">$\\sqrt[3]{\\dfrac{-27}{512}}+\\dfrac{1}{8}\\sqrt[3]{64}+\\dfrac{5}{8}\\sqrt[3]{-0,064}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$-\\dfrac{3}{8}+\\dfrac{1}{8}.4+\\dfrac{5}{8}.\\dfrac{-2}{5}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$-\\dfrac{1}{8}$<\/span>.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-11 02:38:00","option_type":"math","len":0},{"id":"7589","post_id":"7813","mon_id":"1159278","chapter_id":"1159327","question":"<p><span class=\"math-tex\">$(\\sqrt[3]{9}+\\sqrt[3]{6}+\\sqrt[3]{4})(\\sqrt[3]{3}-\\sqrt[3]{2})$<\/span>&nbsp;=&nbsp;<\/p>","options":["<strong>A.<\/strong> 0","<strong>B.<\/strong> 1","<strong>C.<\/strong> &ndash;1","<strong>D.<\/strong> 3"],"correct":"2","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>B.<\/strong> 1.<\/span><\/p><p><span class=\"math-tex\">$(\\sqrt[3]{9}+\\sqrt[3]{6}+\\sqrt[3]{4})(\\sqrt[3]{3}-\\sqrt[3]{2})$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$(\\sqrt[3]{3}-\\sqrt[3]{2})[(\\sqrt[3]{3})^2+\\sqrt[3]{3}.\\sqrt[3]{2}+(\\sqrt[3]{2})^2]$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$(\\sqrt[3]{3})^3-(\\sqrt[3]{2})^3$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$3-2$<\/span><\/p><p>= 1.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-11 02:42:45","option_type":"txt","len":1},{"id":"7591","post_id":"7813","mon_id":"1159278","chapter_id":"1159327","question":"<p>T&iacute;nh&nbsp;<span class=\"math-tex\">$\\sqrt[3]{(4-2\\sqrt{3})(\\sqrt{3}-1)}$<\/span>.<\/p>","options":["<strong>A.<\/strong> <span class=\"math-tex\">$\\sqrt{3}+1$<\/span>","<strong>B.<\/strong> <span class=\"math-tex\">$2\\sqrt{3}-1$<\/span>","<strong>C.<\/strong> <span class=\"math-tex\">$\\sqrt{3}-1$<\/span>","<strong>D.<\/strong> <span class=\"math-tex\">$\\sqrt{3}$<\/span>"],"correct":"3","level":"2","hint":"","answer":"<p>Ch\u1ecdn&nbsp;<span style=\"color:#16a085;\"><strong>C.<\/strong>&nbsp;<span class=\"math-tex\">$\\sqrt{3}-1$<\/span>.<\/span><\/p><p><span class=\"math-tex\">$\\sqrt[3]{(4-2\\sqrt{3})(\\sqrt{3}-1)}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\sqrt[3]{(\\sqrt{3}-1)^2(\\sqrt{3}-1)}$<\/span><\/p><p>=<span class=\"math-tex\">$\\sqrt[3]{(\\sqrt{3}-1)^3}$<\/span><\/p><p>=&nbsp;<span class=\"math-tex\">$\\sqrt{3}-1$<\/span>.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-11 02:45:54","option_type":"math","len":0}]}