Mark each of the following true or false. 

___ a. It is impossible to double any cube of constructible edge by compass and straightedge constructions. 

___ b. It is impossible to double every cube of constructible edge by compass and straightedge constructions. 

___ c. It is impossible to square any circle of constructible radius by straightedge and compass constructions. 

___ d. No constructible angle can be trisected by straightedge and compass constructions. 

___ e. Every constructible number is of degree 2^r over Q for some integer r ≥ 0. 

___ f. We have shown that every real number of degree 2r over Q for some integer r ≥ 0 is constructible.

___ g. The fact that factorization of a positive integer into a product of primes is unique (up to order) was used strongly at the conclusion of Theorems 32.9 and 32.11. 

___ h. Counting arguments are exceedingly powerful mathematical tools. 

___ i. We can find any constructible number in a finite number of steps by starting with a given segment of unit length and using a straightedge and a compass. 

___ j. We can find the totality of all constructible numbers in a finite number of steps by starting with a given segment of unit length and using a straightedge and a compass.