Question

Abstract Algebra

Step 1

To find the smallest degree polynomial f(x) with coefficients in Q, such that f(√2+√3)=0.

Step 2

The important point is that the coefficients should all be in Q. For example, x-(√2+√3) is not allowed, as its coefficients are not rational numbers.

Step 3

We proceed to find this minimal polynomial by repeated squaring &...

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