Read: Finish Chapter 5 and start Chapter 6.
Turn in: 5.117(1), 5.118, 5.120, 5.122, 5.125, 6.2, 6.3
- On 5.120, remember that you can use our answers to 5.114.
- As usual, you can use all previous results, even if we haven’t proved them. Both 5.123 and 5.124 are important!
- For 6.2,6.3, you want to show particular elements are algebraic over $\mathbb{Q}$. To show show an element $\alpha$ is algebraic over $\mathbb{Q}$ you need to show that $\alpha$ is a root of some polynomial with coefficients in $\mathbb{Q}$. For these problems, you should be able to fairly easily write down polynomials that each element is a root of.
Extra practice: 5.121, 5.123
