       • To: mathgroup at smc.vnet.net
• Subject: [mg106438] Re: Radicals simplify
• From: dh <dh at metrohm.com>
• Date: Tue, 12 Jan 2010 05:16:24 -0500 (EST)
• References: <hic37h\$5ef\$1@smc.vnet.net> <hieujs\$mtu\$1@smc.vnet.net> <higdis\$ke6\$1@smc.vnet.net>

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Hi,

all these expressions have the same LeafCount. Therefore, the main rule

is unsufficient to distinguish between this possibilities. There must be

more (undocumented) rules to pick one. But it seems reasonable that 6

Sqrt is simplier than 3 Sqrt.

Daniel

francix wrote:

> "dh" <dh at metrohm.com> ha scritto nel messaggio

> news:hieujs\$mtu\$1 at smc.vnet.net...

>>

>> Hi,

>>

>> why do you think x(x^2 y^3)^(1/4) is simpler than (x^6 y^3)^(1/4)?

>>

>> Mathematica needs some criterion for this decision. The default criterion is the

>>

>> "LeafCount[..]". If that does not suit you, you must define another

>>

>> criterion.

>>

>> Daniel

>

>

> I understand your explanations, but I have the impression

> that in this case Mathematica uses numbers in a different

> way from letters.

>

> If I do

> Simplify[2 Sqrt + 4 Sqrt]  I get

>

> 6 Sqrt

>

> or

>

> Simplify[5 Sqrt + 6 Sqrt]  I get

>

> 43 Sqrt

>

>

> Simplify[5 x Sqrt[x] + 6 x Sqrt[x], x >= 0] or

>

> Simplify[5 Sqrt[x^3] + 6 x Sqrt[x], x >= 0] I get

>

> 11 x^(3/2)  instead of  11xSqrt[x]

>

> As you know the last one is the result

>

> normally found in Algebra books.

>

> So, there is no solution?

>

>

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