a number is called algebraic when it is the root of a polynomial with integer coeffficients . show that the square root of 5 is algebraic. (hint if square root of 5 is algebraic then it is the root of polynomial with integer coefficients. find a second degree polynomial wiht integer coefficients and +square root 5 at its roots. the complete factorization theorem might be useful here)

Question

anonymous · Answer

it is the root of $x^2-5$

anonymous · Answer

no need for all that verbiage, any root is algebraic

anonymous · Answer

square roots, cubed roots, fourth roots etc
also other numbers, like the root of $$x^2+x-1$$

anonymous · Answer

okay so thats all i have to do?