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RE: This should evaluate to zero

• To: mathgroup at smc.vnet.net
• Subject: [mg39969] RE: [mg39926] This should evaluate to zero
• From: "Wolf, Hartmut" <Hartmut.Wolf at t-systems.com>
• Date: Thu, 13 Mar 2003 03:03:45 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

>-----Original Message-----
>From: jf.alcover at bdpme.fr [mailto:jf.alcover at bdpme.fr]
To: mathgroup at smc.vnet.net
>Sent: Wednesday, March 12, 2003 8:28 AM
>To: mathgroup at smc.vnet.net
>Subject: [mg39969] [mg39926] This should evaluate to zero
>
>
>Bonjour,
>Methinks that the following expression should evaluate to zero,
>but it does not, even with FullSimplify :
>    ArcSinh[1]-Log[3363+2378*Sqrt[2]]/10
>Could anyone explain ?
>

If that helps:

In[5]:= TrigToExp[ArcSinh[1]] == 1/10 Log[(1 + Sqrt[2])^10]
Out[5]= True

In[6]:= (1 + Sqrt[2])^10 // Expand
Out[6]= 3363 + 2378*Sqrt[2]

Such, what you think, is confirmed.

--
Hartmut Wolf