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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6310 • Algebra

Fall 2017 • Question 9

Question

Math 6310 • Algebra Fall 2017 • Question 9

Let \(\alpha =2^{1/5}+5^{1/2}\). Determine the extension degree of \(\alpha \) over \(\mathbb {Q}\).

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Let \(\alpha=2^{1/5}+5^{1/2}\). Determine the extension degree of \(\alpha\) over \(\mathbb{Q}\).

Topic Tags

Ext Functors and Module Extensions Field Extensions