Re: some question

• To: mathgroup at smc.vnet.net
• Subject: [mg21027] Re: [mg20937] some question
• From: BobHanlon at aol.com
• Date: Thu, 2 Dec 1999 21:41:38 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

a = Sqrt[3 + 2Sqrt[3]];
b = 3^(1/4)*(1 + Sqrt[3])/Sqrt[2];

a == FullSimplify[b]

True

FullSimplify[a - b]

0

Since Mathematica considers form a simpler than form b, i.e.,

LeafCount[a] < LeafCount[b]

True

then you can simplify b to a but not vice versa.

FullSimplify[b]

Sqrt[3 + 2*Sqrt[3]]

You can always do a brute force substitution:

a /. a :> b

(3^(1/4)*(1 + Sqrt[3]))/Sqrt[2]

Bob Hanlon

In a message dated 12/1/1999 3:25:28 AM, ahn at kyungpook.ac.kr writes:

>I have some question about the mathematica commands.
>I know that \sqrt{3+2 \sqrt{3}} = 3^{1/4}*(1+\sqrt{3})/\sqrt{2}.
>Then how one can get this result from Mathematica? Which command I
>should use in order to
>get the right hand side in the above expression?
>



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