13. Field Extensions or Additional Topics

Constructibility Ideas — Quiz

Test your understanding of constructibility ideas with 5 practice questions.

Practice Questions

Question 1

In classical construction theory, what does it mean for a real number to be constructible?

Question 2

Which of the following numbers is not constructible by straightedge and compass?

Question 3

If a real number is constructible over $\mathbb{Q}$, which of the following can be its field extension degree $[\mathbb{Q}(\alpha):\mathbb{Q}]$?

Question 4

Which classical task is impossible to do with only an unmarked straightedge and compass for an arbitrary given angle?

Question 5

Which regular polygon is constructible with straightedge and compass?