64的立方根是多少？ √64的立方根是多少？ 64的立方根是多少？
\u00b1\u76841\u7684\u7acb\u65b9\u6839\u662f\u591a\u5c11\u82e5\u5728\u5b9e\u6570\u8303\u56f4\u5185\uff1a
1^(1/3) = 1
\u82e5\u6269\u5c55\u5230\u590d\u6570\uff1a
x^3-1=0 \u5373\u6c42\u6b64\u65b9\u7a0b\u7684\u6839\u3002
\u5206\u89e3\u56e0\u5f0f(x-1)(x^2+x+1)=0
\u6240\u4ee5x=1
x=\uff3b-1+\u221a\uff083i )\uff3d/2
x=\uff3b-1-\u221a\uff083i \uff09\uff3d/2
\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
4
4
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
绛旓細4
绛旓細銆愯В绛斻 64 鐨勭珛鏂规牴鏄 4 锛庢晠绛旀涓锛 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 鍥犱负64=4*4*4锛屾墍浠64寮绔嬫柟灏辨槸4銆傜珛鏂规牴鐨勭浉鍏虫ц川锛1銆0鐨勭珛鏂规牴鏄0 2銆佺珛鏂瑰拰寮绔嬫柟杩愮畻锛屼簰涓洪嗚繍绠椼3銆佸湪澶嶆暟鑼冨洿鍐咃紝浠讳綍闈0鐨勬暟閮芥湁涓斾粎鏈3涓珛鏂规牴锛堜竴瀹炴牴锛屼簩鍏辫江铏氭牴锛夛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瀵瑰簲鐨勭偣鏋勬垚姝ｄ笁瑙掑舰銆4銆...
绛旓細64鐨勭珛鏂规牴鏄4銆備竴涓暟鐨勭珛鏂规牴锛屽氨鏄妸杩欎釜鏁板紑涓夋鏂广傛墍浠ワ紝64鐨勭珛鏂规牴灏辨槸64寮涓夋鏂癸紝璁＄畻寰楀埌鐨勭粨鏋滀负4銆
绛旓細64鐨勭珛鏂规牴=4,4*4*4=64
绛旓細64鐨勭珛鏂规牴鏄4 鍥犱负64=4*4*4锛屾墍浠64寮绔嬫柟灏辨槸4銆傜珛鏂规牴鐨勭浉鍏虫ц川锛1銆0鐨勭珛鏂规牴鏄0 2銆佺珛鏂瑰拰寮绔嬫柟杩愮畻锛屼簰涓洪嗚繍绠椼3銆佸湪澶嶆暟鑼冨洿鍐咃紝浠讳綍闈0鐨勬暟閮芥湁涓斾粎鏈3涓珛鏂规牴锛堜竴瀹炴牴锛屼簩鍏辫江铏氭牴锛夛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瀵瑰簲鐨勭偣鏋勬垚姝ｄ笁瑙掑舰銆4銆...
绛旓細4
绛旓細鈭4^3=64锛屸埓64鐨勭珛鏂规牴鏄4锛屽嵆涓夋鈭64=4銆
