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Re: Numerical expression

• To: mathgroup at smc.vnet.net
• Subject: [mg128813] Re: Numerical expression
• From: "Massimo" <linusx++ at mail.com>
• Date: Wed, 28 Nov 2012 03:15:54 -0500 (EST)
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• References: <20121126042617.44760687B@smc.vnet.net> <k91u1k$5k8$1@smc.vnet.net>

"Dave Snead" <dsnead6 at charter.net> ha scritto nel messaggio 
news:k91u1k$5k8$1 at smc.vnet.net...
> Adding the necessary parentheses:
> ((9 (3)^(1/2) + 4 (23)^(1/2))^(1/3) + (9 (3)^(1/2) + 4 (23)^(1/2))^(1/
>      3))/(3)^(1/2)
> this comes out to
> (2*(9*Sqrt[3] + 4*Sqrt[23])^(1/3))/Sqrt[3]
>
> (2*(9*Sqrt[3] + 4*Sqrt[23])^(1/3))/Sqrt[3]//N
> gives
> 3.76887
> So it's not 1.

Thank you all  for your anwers.

I was wrong with a minus sign. The correct expression is:

((9 (3)^(1/2) + 4 (23)^(1/2))^(1/3) + (9 (3)^(1/2) - 4 (23)^(1/2))^(1/
3))/(3)^(1/2)

With the RealOnly package I get the Real result that I was searching for.

FullSimplify[((9 (3)^(1/2) + 4 (23)^(1/2))^(1/3) + (9 (3)^(1/2) -
4 (23)^(1/2))^(1/3))/(3)^(1/2)] == 1

Now I ask you how to get the same result using online WolframAlpha.

Thanks again.



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• References:
  • Numerical expression
    • From: "Massimo" <linusx++@mail.com>