Assume that F is a field throughout these problems.Let et E iQl[x]/(x2 - 7) be a root of

Chapter 42, Problem 42.4

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Assume that F is a field throughout these problems.Let et E iQl[x]/(x2 - 7) be a root of the irreducible polynomial x 2 -7 E iQl[x]. Express eachof the following elements in the form a + bet with a, b E iQl. (See Example 42.2.)(a) et 3 (b) (l - et)(2 + et) (c) (1 + etl (d) (l + et)-I

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