Re: Rational and irrational numbers

Arturo Magidin <magidin@xxxxxxxxxxxxxxxxx> wrote:

> In article <1125353176.517587.195930@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
> <deepkdeb@xxxxxxxxx> wrote:
> >Attention: quasi
> >
> >If you have time and interest kindly consider the following situation:
> >
> >u = Asqrt(g) + Bsqrt(h) (1) and then u^7 = Csqrt(g) + Dsqrt(h)
> >(2)
>
> Really? You don't get any mixed terms E*sqrt(gh)?

No, he doesn't.

C = A^7*g^3 + 21*A^5*B^2*g^2*h + 35*A^3*B^4*g*h^2 + 7*A*B^6*h^3

D = 7*A^6*B*g^3 + 35*A^4*B^3*g^2*h + 21*A^2*B^5*g*h^2 + B^7*h^3

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Daniel W. Johnson
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