How to multiply complex numbers

Practice Questions

SAT Math › How to multiply complex numbers

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1

$x^{4}-1$ has 4 roots, including the complex numbers. Take the product of $\left ( 5+2i \right )$ with each of these roots. Take the sum of these 4 results. Which of the following is equal to this sum?

2

Find the product of (3 + 4i)(4 - 3i) given that i is the square root of negative one.

3

Simplify:

4

Evaluate $\left ( 4i\right )^{3} \cdot (3i)^{4}$ .

5

Raise $6- i\sqrt{7}$ to the power of 3.

6

Remember that $i= \sqrt{-1}$ .

Simplify:

7

Raise to the power of 3.

8

; is the complex conjugate of .

Evaluate

$x^{2} + 2xy + y^{2}$ .

9

Evaluate $\left ( 2 i \sqrt{5}\right )^{5} \cdot \left ( 3 i \sqrt{5} \right )^{3}$

10

$x = 5+ i \sqrt{7}$ ; is the complex conjugate of .

Evaluate

$x^{2} - 2xy + y^{2}$ .

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