How to multiply complex numbers

Practice Questions

ACT Math › How to multiply complex numbers

Questions

9

1

Complex numbers take the form , where is the real term in the complex number and is the nonreal (imaginary) term in the complex number.

Simplify the following expression, leaving no complex numbers in the denominator.

$\frac{3+2i}{4-4i}$

2

Simplify the following:

3

Which of the following is equal to ?

4

Complex numbers take the form , where is the real term in the complex number and is the nonreal (imaginary) term in the complex number.

Which of the following is equivalent to ?

5

Complex numbers take the form , where is the real term in the complex number and is the nonreal (imaginary) term in the complex number.

Distribute:

6

Complex numbers take the form , where is the real term in the complex number and is the nonreal (imaginary) term in the complex number.

Distribute and solve:

7

Simplify the following:

8

The solution of $\sqrt{x-3}>2$ is the set of all real numbers such that:

9

What is the product of and

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