Complex Numbers

Practice Questions

SAT Math › 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

Simplify:

3

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

4

Simplify: $\sqrt{-3}+\sqrt{-9}+\sqrt{-16}$

5

$x^{4}-1$ 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?

6

Simplify: $\sqrt{-3}+\sqrt{-9}+\sqrt{-16}$

7

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

8

Define an operation $\Phi$ such that, for any complex number ,

$\Phi a = a + 2ai$

If $\Phi N = i$ , then evaluate .

9

Define an operation $\Phi$ such that, for any complex number ,

$\Phi a = a + 2ai$

If $\Phi N = i$ , then evaluate .

10

Simplify:

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