20070423, 08:46  #12  
"Lucan"
Dec 2006
England
2·3·13·83 Posts 
Quote:
(ab)^{2}=a^{2}b^{2} Last fiddled with by davieddy on 20070423 at 08:52 

20070423, 08:47  #13 
Jun 2005
2·191 Posts 

20070423, 08:53  #14 
Jan 2005
479 Posts 
More generally:
and thus (This is merely an excercise in TeX for me, been quite a while since last usage...and I sure hope nobody saw me struggling :>) Last fiddled with by michaf on 20070423 at 08:59 
20070423, 10:37  #15 
"Lucan"
Dec 2006
England
2×3×13×83 Posts 
Mally: is this something you tried on a calculator?

20070423, 12:11  #16 
Aug 2005
Brazil
362_{10} Posts 
Of course, there is the calculator approach to it:
2*sqrt(2./3) = 1.6329931618554521 sqrt(4/3) = 1.1547005383792515 
20070423, 12:58  #17 
Nov 2003
16444_{8} Posts 

20070423, 13:00  #18  
"Lucan"
Dec 2006
England
1100101001010_{2} Posts 
Quote:
arrive at equality? His resourcefulness in this respect is boundless:) Last fiddled with by davieddy on 20070423 at 13:05 

20070423, 13:30  #19  
Feb 2007
2^{4}·3^{3} Posts 
Quote:
I think the first part (maybe not the second part) of R.D.Silverman's post gives an indication to the intended solution. PS: well, there are several solutions... at least (a trivial) one is easy to see. Last fiddled with by m_f_h on 20070423 at 14:03 

20070423, 13:42  #20 
"Lucan"
Dec 2006
England
6474_{10} Posts 

20070423, 13:50  #21 
"Nancy"
Aug 2002
Alexandria
2,467 Posts 
Fields of finite characteristic? In characteristic 2, the two are indeed identical, as both are equal to 0. But if someone is asking such a question and has a domain other than the runofthemill R or maybe C in mind, he must say so, or the question is illstated and quite meaningless.
Alex 
20070423, 14:04  #22  
Feb 2007
1B0_{16} Posts 
Quote:
PS: and in an extension of R which has an absolute value, the equation is certainly wong, that's why it seems improbable that it's a question of branch cut. Last fiddled with by m_f_h on 20070423 at 14:09 

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