Practice Problems and Examples for Complex Numbers

How do you find the power ${(- 2 + 2 i)}^{3}$ and express the result in rectangular form?

poveli1e 2022-01-30

Write the complex number $\frac{\sqrt{3} + i}{\sqrt{3} - i}$ in standard form?

Cameron Russell 2022-01-30

Write the complex number $\frac{2 + 5 i}{5 + 2 i}$ in standard form?

Motalli21 2022-01-30

How do I rationalize the denominator of a complex quotient?

amevaa0y 2022-01-30

Find the fourth roots of $- 17 i ?$

Ethen Wong 2022-01-30

How do you find the nth root of n!?

Kendall Holder 2022-01-30

How do you find the square root of $16 (\cos (\frac{2 π}{3}) + i \sin (\frac{2 π}{3}))$ ?

tripplek7i 2022-01-30

How do you use the exponent to determine the simplified form of any power of i?

Gabriela Duarte 2022-01-30

How do you solve $x^{3} - 1 = 0$ ?

kejpsy 2022-01-30

How do you solve $3 x^{4} + 38 = 0 ?$

Rylan Duncan 2022-01-30

How do you change $10 z^{4}$ into polar coordinates where $z = 2 + 4 i$ ?

Carly Shannon 2022-01-30

How do you simplify ${\sqrt{- 75}}^{3} ?$

Aubrey Hendricks 2022-01-30

What roots of $z^{4} + z^{2} + 1 = 0$ satisfy $| z | < 1$ ?

Anderson Melton 2022-01-30

Solve the equation $x^{2} + 12 = 0$ ?

Jessie Jenkins 2022-01-30

How do you write the complex number in standard form $5 (\cos 135 + i \sin 135)$ ?

shangokm 2022-01-30

How do you write the complex number in standard form $\frac{3}{4} (\cos 315 + i \sin 315)$ ?

Jaylene Franco 2022-01-30

How do you write the complex number in standard form $[3 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))] [4 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))]$ ?

Kamren Franco 2022-01-30

$x = \cos α + i \sin α, y = \cos β + i \sin β, z = \cos γ + i \sin γ and x + y + z = x y z$ . Prove that $\cos (β - γ) + \cos (γ - α) + \cos (α - β) = 1$ ?

Madilyn Fitzgerald 2022-01-30

How do you simplify $4 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 7 (\cos (\frac{2 π}{3}) + i \sin (\frac{2 π}{3}))$ and express the result in rectangular form?

Wendy Gutierrez 2022-01-30

How do you simplify $2 (\cos 240 + i \sin 240) \cdot 3 (\cos 60 + i \sin 60)$ and express the result in rectangular form?

Regardless if you’re dealing with complex numbers problems or need to find the answers to the complex numbers equation, do not let it bring you down as we shall provide you with complex numbers examples that will help you find the answers. Our complex numbers problems will offer you various solutions that can be matched to your instructions and the problems that you have. It is recommended to start with the complex numbers answers by going straight to your instructions to understand how exactly complex numbers differ. Have a look at our complex numbers questions and come up with solutions.

Precalculus

Understanding Complex Numbers - Examples and Equations