Find the Roots of Complex Numbers

Practice Questions

Pre-Calculus › Find the Roots of Complex Numbers

Page 1 of 2

10 of 13

1

Solve for $z^{3}-z^{2}+z=0$ (there may be more than one solution).

2

What is the length of

$({1-i})^{3}$ ?

3

Solve for all possible solutions to the quadratic expression:

4

Solve for (there may be more than one solution).

5

Recall that $z=rcis(\theta)$ is just shorthand for $z=r(cos(\theta)+isin(\theta))$ when dealing with complex numbers in polar form.

Express $\frac{1}{(\sqrt{3}-i)^4}$ in polar form.

6

Compute

7

Determine the length of $2i^{2}-1$ .

8

Evaluate ${}(1+i)^{2n}$ , where is a natural number and is the complex number ${}i^{2}=-1$ .

9

Solve for $z^{3}-z^{2}+z=0$ (there may be more than one solution).

10

Determine the length of

Page 1 of 2

Return to subject