let a= sqrt(7 + 4 *sqrt(3)) find irr(a,Q)

now let a= sqrt(7) + i find irr(a,Q)

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- Apr 27th 2009, 05:01 PMCoda202Irreducible Polynomials
let a= sqrt(7 + 4 *sqrt(3)) find irr(a,Q)

now let a= sqrt(7) + i find irr(a,Q) - Apr 28th 2009, 03:48 AMNonCommAlg
$\displaystyle \sqrt{7 + 4\sqrt{3}}=2 + \sqrt{3}.$

Quote:

now let a= sqrt(7) + i find irr(a,Q)

$\displaystyle x^4-12x^2+64=(x^2+ax+b)(x^2+cx+d),$ for some integers $\displaystyle a,b,c,d.$ that is very easy to verify! - Apr 28th 2009, 01:51 PMmathman88
- Apr 28th 2009, 02:16 PMNonCommAlg