64的立方根怎么算 64的立方根是多少？是4还是-4？
\u221a64\u7684\u7acb\u65b9\u6839\u662f\u591a\u5c11\uff1f 64\u7684\u7acb\u65b9\u6839\u662f\u591a\u5c11\uff1f\u221a64\u7684\u7acb\u65b9\u6839\uff1a2\u300164\u7684\u7acb\u65b9\u6839\uff1a4
\u8ba1\u7b97\u8fc7\u7a0b\uff1a
\u221a64=\u221a(2^6)=2^(6/2)=2^3\uff0c\u6240\u4ee5\u221a64\u7684\u7acb\u65b9\u6839\u4e3a2
64\u7684\u7acb\u65b9\u6839=2^6\u7684\u7acb\u65b9\u6839=2^(6/3)=2^2=4
\u7acb\u65b9\u6839\u4ecb\u7ecd\uff1a
\u5982\u679c\u4e00\u4e2a\u6570\u7684\u7acb\u65b9\u7b49\u4e8ea\uff0c\u90a3\u4e48\u8fd9\u4e2a\u6570\u53eba\u7684\u7acb\u65b9\u6839\uff0c\u4e5f\u79f0\u4e3a\u4e09\u6b21\u65b9\u6839\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5982\u679cx³=a\uff0c\u90a3\u4e48x\u53eb\u505aa\u7684\u7acb\u65b9\u6839\u3002
\u6ce8\u610f\uff1a\u5728\u5e73\u65b9\u6839\u4e2d\u7684\u6839\u6307\u65702\u53ef\u7701\u7565\u4e0d\u5199\uff0c\u4f46\u7acb\u65b9\u6839\u4e2d\u7684\u6839\u6307\u65703\u4e0d\u80fd\u7701\u7565\u4e0d\u5199\u3002
\u6269\u5c55\u8d44\u6599\uff1a\u7acb\u65b9\u6839\u7684\u6027\u8d28\uff1a
\uff081\uff09\u5728\u5b9e\u6570\u8303\u56f4\u5185\uff0c\u4efb\u4f55\u5b9e\u6570\u7684\u7acb\u65b9\u6839\u53ea\u6709\u4e00\u4e2a\uff1b
\uff082\uff09\u5728\u5b9e\u6570\u8303\u56f4\u5185\uff0c\u8d1f\u6570\u4e0d\u80fd\u5f00\u5e73\u65b9\uff0c\u4f46\u53ef\u4ee5\u5f00\u7acb\u65b9\uff1b
\uff083\uff090\u7684\u7acb\u65b9\u6839\u662f0\uff1b
\uff084\uff09\u7acb\u65b9\u548c\u5f00\u7acb\u65b9\u8fd0\u7b97\uff0c\u4e92\u4e3a\u9006\u8fd0\u7b97\uff1b
\uff085\uff09\u5728\u590d\u6570\u8303\u56f4\u5185\uff0c\u4efb\u4f55\u975e0\u7684\u6570\u90fd\u6709\u4e14\u4ec5\u67093\u4e2a\u7acb\u65b9\u6839\uff08\u4e00\u5b9e\u6839\uff0c\u4e8c\u5171\u8f6d\u865a\u6839\uff09\uff0c\u5b83\u4eec\u5747\u5300\u5206\u5e03\u5728\u4ee5\u539f\u70b9\u4e3a\u5706\u5fc3\uff0c\u7b97\u672f\u6839\u4e3a\u534a\u5f84\u7684\u5706\u5468\u4e0a\uff0c\u4e09\u4e2a\u7acb\u65b9\u6839\u5bf9\u5e94\u7684\u70b9\u6784\u6210\u6b63\u4e09\u89d2\u5f62\uff1b
\uff086\uff09\u5728\u590d\u6570\u8303\u56f4\u5185\uff0c\u8d1f\u6570\u65e2\u53ef\u4ee5\u5f00\u5e73\u65b9\uff0c\u53c8\u53ef\u4ee5\u5f00\u7acb\u65b9\u3002
64\u7684\u7acb\u65b9\u6839\u662f4
-64\u7684\u7acb\u65b9\u6839\u662f-4
\u5982\u679c\u4e00\u4e2a\u6570\u7684\u7acb\u65b9\u7b49\u4e8ea\uff0c\u90a3\u4e48\u8fd9\u4e2a\u6570\u53eba\u7684\u7acb\u65b9\u6839\uff0c\u4e5f\u79f0\u4e3a\u4e09\u6b21\u65b9\u6839\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5982\u679cx³=a\uff0c\u90a3\u4e48x\u53eb\u505aa\u7684\u7acb\u65b9\u6839\u3002
\u6c42\u4e00\u4e2a\u6570a\u7684\u7acb\u65b9\u6839\u7684\u8fd0\u7b97\u53eb\u505a\u5f00\u7acb\u65b9\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u5e38\u7528\u7acb\u65b9\u6839\u6570\u503c\uff1a
\u4ee5\u4e0b\u6570\u503c\u5747\u53d66\u4f4d\u6709\u6548\u6570\u5b57\uff0c\u6b63\u88ab\u5f00\u65b9\u6570\u53d6\u6b63\u503c\uff0c\u8d1f\u88ab\u5f00\u65b9\u6570\u53d6\u8d1f\u503c
\u00b11\uff1a\u00b11.00000
\u00b12\uff1a\u00b11.25992
\u00b13\uff1a\u00b11.44225
\u00b14\uff1a\u00b11.58740
\u00b15\uff1a\u00b11.70998
\u00b16\uff1a\u00b11.81712
\u00b17\uff1a\u00b11.91293
\u00b18\uff1a\u00b12.00000
\u00b19\uff1a\u00b12.08008
\u00b110\uff1a\u00b12.15443
\u00b111\uff1a\u00b12.22398
\u00b112\uff1a\u00b12.28943
\u00b113\uff1a\u00b12.35133
\u00b114\uff1a\u00b12.41014
\u00b115\uff1a\u00b12.46621
\u00b116\uff1a\u00b12.51984
\u00b117\uff1a\u00b12.57128
∴64的立方根是4，
即三次√64=4。
绛旓細64瀹為檯涓婂氨鏄4³锛岋紙鍗4x4x4),鎶64寮绔嬫柟鍗冲緱绔嬫柟鏍4.
绛旓細64鐨勫钩鏂规牴鏄細锛埪8锛夛紝64鐨勭珛鏂规牴鏄細锛4锛夈64鐨勫钩鏂规牴璁颁负锛毬扁垰64=卤8锛64鐨勭畻鏈钩鏂规牴璁颁负锛氣垰64=8.
绛旓細64鐨勭珛鏂规牴鏄4 -64鐨勭珛鏂规牴鏄-4 濡傛灉涓涓暟鐨勭珛鏂圭瓑浜巃锛岄偅涔堣繖涓暟鍙玜鐨勭珛鏂规牴锛屼篃绉颁负涓夋鏂规牴銆備篃灏辨槸璇达紝濡傛灉x³=a锛岄偅涔坸鍙仛a鐨勭珛鏂规牴銆傛眰涓涓暟a鐨勭珛鏂规牴鐨勮繍绠楀彨鍋氬紑绔嬫柟銆
绛旓細64鐨勭珛鏂规牴鏄4 -64鐨勭珛鏂规牴鏄-4 濡傛灉涓涓暟鐨勭珛鏂圭瓑浜巃锛岄偅涔堣繖涓暟鍙玜鐨勭珛鏂规牴锛屼篃绉颁负涓夋鏂规牴銆備篃灏辨槸璇达紝濡傛灉x³=a锛岄偅涔坸鍙仛a鐨勭珛鏂规牴銆傛眰涓涓暟a鐨勭珛鏂规牴鐨勮繍绠楀彨鍋氬紑绔嬫柟銆
绛旓細4 锛庛愯冪偣銆 绔嬫柟鏍癸紟銆愪笓棰樸 璁＄畻棰橈紱瀹炴暟锛庛愬垎鏋愩 鍒╃敤绔嬫柟鏍瑰畾涔夎绠楀嵆鍙緱鍒扮粨鏋滐紟銆愯В绛斻 64 鐨勭珛鏂规牴鏄 4 锛庢晠绛旀涓猴細 4 锛庛愮偣璇勩 姝ら鑰冩煡浜嗙珛鏂规牴锛岀啛缁冩帉鎻＄珛鏂规牴鐨勫畾涔夋槸瑙ｆ湰棰樼殑鍏抽敭锛
绛旓細4
绛旓細64鐨勭珛鏂规牴鏄4銆傚鏋滀竴涓暟鐨勭珛鏂圭瓑浜巃锛岄偅涔堣繖涓暟鍙玜鐨勭珛鏂规牴锛屼篃绉颁负涓夋鏂规牴锛屼篃灏辨槸璇达紝濡傛灉x³=a锛岄偅涔坸鍙仛a鐨勭珛鏂规牴銆傚湪骞虫柟鏍逛腑鐨勬牴鎸囨暟2鍙渷鐣ヤ笉鍐欙紝浣嗙珛鏂规牴涓殑鏍规寚鏁3涓嶈兘鐪佺暐涓嶅啓銆備换浣曟暟鏈変笖鍙湁涓変釜绔嬫柟鏍癸紝瀹冧滑鍧囧寑鍒嗗竷鍦ㄤ互鍘熺偣涓哄渾蹇冿紝绠楁湳鏍逛负鍗婂緞鐨勫渾鍛ㄤ笂锛屼笁涓珛鏂规牴...
绛旓細2銆傛牴鍙64琛ㄧず鎵惧嚭涓涓暟鐨勫钩鏂圭瓑浜64锛岃岀珛鏂规牴鍒欐槸鎵惧嚭涓涓暟鐨勪笁娆℃柟绛変簬缁欏畾鍊肩殑閭ｄ釜鏁般傚彲浠ラ氳繃鏁板鍏紡鏉璁＄畻锛屽皢64鐨勭珛鏂规牴琛ㄧず涓64^(1/3)锛岀劧鍚庡啀灏嗙珛鏂规牴鐨勫钩鏂硅〃绀轰负绔嬫柟鏍筤(1/2)銆傞氳繃璁＄畻锛屽緱鍑虹粨鏋滀负2銆傛牴鍙64鐨勭珛鏂规牴鏄2銆
绛旓細64鐨勭珛鏂规牴鏄4锛4鐨勫钩鏂规牴鏄璐2
绛旓細閿欎簡 骞虫柟鏍规槸8 绔嬫柟鏍鏄4
