Practice Problems and Examples for Complex Numbers

How do you simplify $(4 + 3 i) \div (2 - i) ?$

Prince Rasmussen 2022-02-02

Determine whether the statement, "My work with complex numbers verified that the only possible cube root of 8 is 2.",
makes sense or does not make sense, and explain your reasoning.

absolutestylehc 2022-02-02

How do you find the product of the complex number and its conjugate of $- 7 + \sqrt{13 i}$ ?

Shamar Padilla 2022-02-02

How do you multiply $(5 + 2 i) (5 - 2 i) ?$

veceriraby 2022-02-02

How do you write this expression in the standard form $a + b i$ given ${(1 - i)}^{5}$ ?

Jacquelyn Sanders 2022-02-02

How do you simplify $\frac{\sqrt{- 24}}{\sqrt{- 2}}$ ?

segnverd3a 2022-02-02

How do you cube $1 + \sqrt{3} i$ ?

Journey Stout 2022-02-02

How do you multiply $(3 + 2 i) (1 - 3 i)$ ?

Anika Osborne 2022-02-02

What is the product of $3 + 2 i and 1 + 7 i$ ?

Babenzgs 2022-02-02

How do you divide $\frac{5 - i}{3 + 3 i}$ ?

Calvin Hess 2022-02-02

How do you simplify $\frac{4 + 2 i}{3 - i}$ ?

William Montgomery 2022-02-02

How do you divide $\frac{2 i}{4 - 5 i} ?$

Swebaceacichegh 2022-02-02

What is the complex conjugate of $2 \sqrt{10}$ ?

Anika Osborne 2022-02-02

How do you find the conjugate of the complex number $\frac{\sqrt{5}}{8} + \frac{1}{8} i$ ?

Rudy Koch 2022-02-01

How do you write the complex number $z = 6 ({\cos 45}^{\circ} + i {\sin 45}^{\circ})$ in standard form?

Tori Hines 2022-02-01

How do I find the trigonometric form of the complex number 3i?

Reese Munoz 2022-02-01

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

Jay Mckay 2022-02-01

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

Madilyn Fitzgerald 2022-02-01

How do you write the trigonometric form of $\frac{5}{2} (\sqrt{3} - i)$ ?

Vanessa Hensley 2022-02-01

How do you write the trigonometric form of $\sqrt{3} + i$ ?

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