Complex Numbers
Tests in Complex Numbers
Multiplying complex numbers

Multiplying complex numbers

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Question 1:

1 pts

Is the following equation true or false?

i^2 = -1

Question 2:

1 pts

Is the following statement true or false? The product of two complex number can be real number.

Question 3:

1 pts

Multiply:

-i\cdot(-i)

$1$	$-1$
$i$	$-i$

Question 4:

1 pts

Multiply:

(1-i)\cdot(1+i)

$2$	$-2$
$2i$	$-2i$

Question 5:

2 pts

Multiply:

(3+2i)\cdot(1+i)

$1-5i$	$-1+5i$
$1+5i$	$-1-5i$

Question 6:

2 pts

Multiply:

(5-3i)\cdot(-2-i)

$8-i$	$7+i$
$12-i$	$-13+i$

Question 7:

2 pts

Simplify:

(4-2i)^2

$12-16i$	$12+16i$
$20-16i$	$20+16i$

Question 8:

3 pts

With what number do we need to multiply

1+i

in order to get a real number?

$i$	$-i$
$1-i$	$1+i$

Question 9:

3 pts

With what number do we need to multiply

5-3i

in order to get a real number?

$5-3i$	$5+3i$
$3-5i$	$3+5i$

Question 10:

3 pts

Simplify:

3i\cdot(1-i)^2

$6$	$-6$
$6i$	$-6i$

Complex numbers

Graphing complex numbers
Adding and subtracting
Multiplying
Conjugate and modulus
Dividing complex numbers
Powers of complex numbers

Sequences and series

Arithmetic series test
Geometric series test
Mixed problems