Re: Out[1]=((5-Sqrt[5])/20 + (5+Sqrt[5])/20 ) == 1/2 ???

• To: mathgroup at smc.vnet.net
• Subject: [mg20013] Re: Out[1]=((5-Sqrt[5])/20 + (5+Sqrt[5])/20 ) == 1/2 ???
• From: "Kevin J. McCann" <kevin.mccann at jhuapl.edu>
• Date: Sat, 25 Sep 1999 02:40:42 -0400
• Organization: Johns Hopkins University Applied Physics Lab, Laurel, MD, USA
• References: <7se6fk\$qsc@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Indeed, it does seem a bit strange, especially since

In[1]:= Simplify[( (5-Sqrt[5])/20 + (5+Sqrt[5])/20 ) ]

Out[1]:=  1/2

--

Kevin J. McCann
Johns Hopkins University APL

Patrick McLean <p_mclean at postoffice.utas.edu.au> wrote in message
news:7se6fk\$qsc at smc.vnet.net...
> Can any one explain this behaviour???
>
> hilbert% math
> Mathematica 3.0 for Solaris
> Copyright 1988-96 Wolfram Research, Inc.
>  -- Terminal graphics initialized --
>
> In[1]:=   ( (5-Sqrt[5])/20 + (5+Sqrt[5])/20 ) == 1/2
>
> \$MaxExtraPrecision::meprec:
>    \$MaxExtraPrecision = 50. reached while evaluating
>       1    5 - Sqrt[5]   5 + Sqrt[5]
>     -(-) + ----------- + -----------. Increasing the value of
>       2        20            20
>      \$MaxExtraPrecision may help resolve the uncertainty.
>
>         5 - Sqrt[5]   5 + Sqrt[5]    1
> Out[1]= ----------- + ----------- == -
>             20            20         2
>
> In[2]:=
>
> --
> Patrick McLean
>
> No news is good news...
>

```

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