Algebraic number theory

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Recall that an element a is called algebraic over a ring (or field) R if a is the root of some polynomial in R[x].

Is the element a = 2/5 + i/3, (R= the integers) algebraic over the ring (or field) R? If so, give a polynomial in R[x] which has a as a root.

Reference no: EM13126435

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