Mathcenter Forum  

Go Back   Mathcenter Forum > ¤³ÔµÈÒʵÃìÁѸÂÁÈÖ¡ÉÒ > »Ñ­ËÒ¤³ÔµÈÒʵÃì Á.»ÅÒÂ
ÊÁѤÃÊÁÒªÔ¡ ¤ÙèÁ×Í¡ÒÃãªé ÃÒª×èÍÊÁÒªÔ¡ »¯Ô·Ô¹ ¢éͤÇÒÁÇѹ¹Õé

µÑé§ËÑÇ¢éÍãËÁè Reply
 
à¤Ã×èͧÁ×ͧ͢ËÑÇ¢éÍ ¤é¹ËÒã¹ËÑÇ¢é͹Õé
  #1  
Old 16 ¡ØÁÀҾѹ¸ì 2010, 12:57
kurumi_00 kurumi_00 äÁèÍÂÙèã¹Ãкº
ÅÁ»ÃÒ³ºÃÔÊØ·¸Ôì
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 12 µØÅÒ¤Á 2008
¢éͤÇÒÁ: 125
kurumi_00 is on a distinguished road
Default àŢ¡¡ÓÅѧ

$(-25^{\frac{1}{2}})^2$ = ??
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #2  
Old 16 ¡ØÁÀҾѹ¸ì 2010, 13:05
banker banker äÁèÍÂÙèã¹Ãкº
à·¾à«Õ¹
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 24 Á¡ÃÒ¤Á 2002
¢éͤÇÒÁ: 9,910
banker is on a distinguished road
Default

ÍéÒ§ÍÔ§:
¢éͤÇÒÁà´ÔÁà¢Õ¹â´Â¤Ø³ kurumi_00 View Post
$(-25^{\frac{1}{2}})^2$ = ??

$(-25^{\frac{1}{2}})^2 \not = \ ?? $ ¤ÃѺ

ẺÇèÒ $ \ (-a)^2 = (-a)(-a) = a^2 \ $ ËÃ×Í $(-2)(-2) = 4 $

´Ñ§¹Ñé¹ $ \ (-25^{\frac{1}{2}})^2 = (-25^{\frac{1}{2}})(-25^{\frac{1}{2}}) = 25$

ËÁÒÂà赯 $ \ - (25^{\frac{1}{2}})^2 = - 25 $
__________________
ÁÒËÒ¤ÇÒÁÃÙéäÇéµÔÇËÅÒ¹
áµèËÅÒ¹äÁèàÍÒàÅ¢áÅéÇ
à¢éÒÁÒ·ÓàÅ¢àÍÒÁѹÍÂèÒ§à´ÕÂÇ

¤ÇÒÁÃÙéà»ç¹ÊÔè§à´ÕÂÇ·ÕèÂÔè§ãËé ÂÔè§ÁÕÁÒ¡


ÃÙéÍÐäÃäÁèÊÙé ÃÙé¨Ñ¡¾Í
(¡àÇ鹤ÇÒÁÃÙé äÁèµéͧ¾Í¡çä´é ËÒäÇéÁÒ¡æáËÅдÕ)
(áµè¡çÍÂèÒãËéÁÒ¡¨¹·èÇÁËÑÇ àÍÒµÑÇäÁèÃÍ´)
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #3  
Old 16 ¡ØÁÀҾѹ¸ì 2010, 13:47
kurumi_00 kurumi_00 äÁèÍÂÙèã¹Ãкº
ÅÁ»ÃÒ³ºÃÔÊØ·¸Ôì
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 12 µØÅÒ¤Á 2008
¢éͤÇÒÁ: 125
kurumi_00 is on a distinguished road
Default

áµè¶éÒàÃÒ¤Ô´ÇÔ¸Õ·Õè ãªé¡ÓÅѧ$(\frac{1}{2})$(2) àÃÒ¡ç¨Ðä´é -25 äÁèãªèàËÃͤèÐ
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #4  
Old 16 ¡ØÁÀҾѹ¸ì 2010, 14:09
banker banker äÁèÍÂÙèã¹Ãкº
à·¾à«Õ¹
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 24 Á¡ÃÒ¤Á 2002
¢éͤÇÒÁ: 9,910
banker is on a distinguished road
Default

ÍéÒ§ÍÔ§:
¢éͤÇÒÁà´ÔÁà¢Õ¹â´Â¤Ø³ kurumi_00 View Post
áµè¶éÒàÃÒ¤Ô´ÇÔ¸Õ·Õè ãªé¡ÓÅѧ$(\frac{1}{2})$(2) àÃÒ¡ç¨Ðä´é -25 äÁèãªèàËÃͤèÐ

¼ÁäÁèªÍºãªé¡ÓÅѧ


ËÃ×ͶéÒ¨ÐÁͧã¹ÃÙ»¢Í§ÃÒ¡

$(-25^{\frac{1}{2}})$ ¡ç¤×Í $-\sqrt{25} = (-1) (\sqrt{25})$

$(-25^{\frac{1}{2}})^2= (-\sqrt{25})(-\sqrt{25}) = (-1)(\sqrt{25})(-1)(\sqrt{25}) = 25 $


ä˹æ¡çä˹áÅéÇ µÒÁ¤ÓÃéͧ¢Í Åͧãªé¡ÓÅѧ´Ù¡çä´é¤ÃѺ

$(-25^{\frac{1}{2}})^2 = [(-1)(25^{\frac{1}{2}})]^2 = (-1)^2(25^{\frac{1}{2}})^2 = (1)(25^{\frac{2}{2}}) = (1)(25) = 25$
__________________
ÁÒËÒ¤ÇÒÁÃÙéäÇéµÔÇËÅÒ¹
áµèËÅÒ¹äÁèàÍÒàÅ¢áÅéÇ
à¢éÒÁÒ·ÓàÅ¢àÍÒÁѹÍÂèÒ§à´ÕÂÇ

¤ÇÒÁÃÙéà»ç¹ÊÔè§à´ÕÂÇ·ÕèÂÔè§ãËé ÂÔè§ÁÕÁÒ¡


ÃÙéÍÐäÃäÁèÊÙé ÃÙé¨Ñ¡¾Í
(¡àÇ鹤ÇÒÁÃÙé äÁèµéͧ¾Í¡çä´é ËÒäÇéÁÒ¡æáËÅдÕ)
(áµè¡çÍÂèÒãËéÁÒ¡¨¹·èÇÁËÑÇ àÍÒµÑÇäÁèÃÍ´)

16 ¡ØÁÀҾѹ¸ì 2010 15:33 : ¢éͤÇÒÁ¹Õé¶Ù¡á¡éä¢áÅéÇ 1 ¤ÃÑé§, ¤ÃÑé§ÅèÒÊØ´â´Â¤Ø³ banker
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
  #5  
Old 16 ¡ØÁÀҾѹ¸ì 2010, 21:21
Bonegun Bonegun äÁèÍÂÙèã¹Ãкº
ÅÁ»ÃÒ³ºÃÔÊØ·¸Ôì
 
Çѹ·ÕèÊÁѤÃÊÁÒªÔ¡: 01 ¡Ã¡®Ò¤Á 2008
¢éͤÇÒÁ: 113
Bonegun is on a distinguished road
Default

ËÅÒ¤¹ªÍº Å×ÁÇèÒ

$ (-a)^n\not= -a^n$
µÍº¾ÃéÍÁÍéÒ§ÍÔ§¢éͤÇÒÁ¹Õé
µÑé§ËÑÇ¢éÍãËÁè Reply



¡®¡ÒÃÊ觢éͤÇÒÁ
¤Ø³ äÁèÊÒÁÒö µÑé§ËÑÇ¢éÍãËÁèä´é
¤Ø³ äÁèÊÒÁÒö µÍºËÑÇ¢éÍä´é
¤Ø³ äÁèÊÒÁÒö Ṻä¿ÅìáÅÐàÍ¡ÊÒÃä´é
¤Ø³ äÁèÊÒÁÒö á¡é䢢éͤÇÒÁ¢Í§¤Ø³àͧä´é

vB code is On
Smilies are On
[IMG] code is On
HTML code is Off
·Ò§ÅÑ´ÊÙèËéͧ


àÇÅÒ·ÕèáÊ´§·Ñé§ËÁ´ à»ç¹àÇÅÒ·Õè»ÃÐà·Èä·Â (GMT +7) ¢³Ð¹Õéà»ç¹àÇÅÒ 20:37


Powered by vBulletin® Copyright ©2000 - 2024, Jelsoft Enterprises Ltd.
Modified by Jetsada Karnpracha