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#1 2016-07-25 19:17:30

Aeronaesis
Member
Registered: 2016-07-18
Posts: 7

Interesting formula for infinite radicals

If


Then 



Proof:





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#2 2016-07-25 22:10:16

thickhead
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Registered: 2016-04-16
Posts: 1,044

Re: Interesting formula for infinite radicals

you can create such radicals yourself from equations like x^2-x-2=0


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#3 2016-07-26 15:50:04

Monox D. I-Fly
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Registered: 2015-12-02
Posts: 727

Re: Interesting formula for infinite radicals

Fractals. I have read that Golden Ratio also consists of these things.

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#4 2016-07-26 16:33:01

Aeronaesis
Member
Registered: 2016-07-18
Posts: 7

Re: Interesting formula for infinite radicals

thickhead wrote:

you can create such radicals yourself from equations like x^2-x-2=0

Create?? Why would you need a quadratic to do that ?

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#5 2016-07-26 16:37:02

Aeronaesis
Member
Registered: 2016-07-18
Posts: 7

Re: Interesting formula for infinite radicals

Monox D. I-Fly wrote:

Fractals. I have read that Golden Ratio also consists of these things.

The golden ratio does consist of these radicals, but they are of the form


The formula I showed is a useful way of simplifying radicals of the form

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#6 2016-07-26 22:13:23

thickhead
Member
Registered: 2016-04-16
Posts: 1,044

Re: Interesting formula for infinite radicals

Last edited by thickhead (2016-07-26 22:16:40)


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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