Which of the following are correct statements concerning the roots of unity? check all that apply.

a. nth roots of unity are evenly spaced on the unit circle.
b. 1 is always the nth root of unity.
c. the number of nth roots of unity is n.
d. -1 is always the nth root of unity.

The correct options are:

A. nth roots of unity are evenly spaced on the unit circle.

B. 1 is always the nth root of unity.

C. The number of nth roots of unity is n.

Step-by-step explanation:

We know that form any complex number 'z' the nth root of unity satisfies the equation:

( Since, if we consider,

The roots are:

1,ω,ω² )

Since they are separated by an angle of:

1/5^2 = 7.56/45