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## Homework Statement

Use the First Isomorphism Theorem to show that Q[x]/(x^3-3) is isomorphic to {a+b*sqrt(3)}

## Homework Equations

First Isomorphism Theorem:

If f: G-> H is a homomorphism then G/ker(f) is isomorphic to im(f)

## The Attempt at a Solution

I understand that I need to show that Q[x] is homomorphic to {a+b*sqrt(3)} with a kernel of x^3-3. I am really struggling in finding that homomorphism. I see the connection between sqrt(3) and x^3-3, e.g. sqrt(3) is a root of x^3-3, but I don't understand how this helps.