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?
>