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  3. (a) prove that q(sqareroot 5)={a+b sqareroot 5 ; a

(a) Prove that Q(sqareroot 5)={a+b sqareroot 5 ; a,b in Z} is a subring of Z. (b)...

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Advance Math

(a) Prove that Q(sqareroot 5)={a+b sqareroot 5 ; a,b in Z} is asubring of Z.

(b) Show that Q(sqareroot 5) is a conmutative ring.

(c) Show that Q(sqareroot 5) has a multiplicative identity.

(d) show that Q(sqareroot 5) is a field.(Hint : you want tomulitply something by he conjugate.)

(Abstract Algebra)

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