Complex Numbers

Simplifying Negative Radicals

100

Simplify: 

sqrt(-36)

What is 

6i

200

Simplify: 

sqrt(-32)

What is: 

4isqrt(2)

300

Simplify: 

3sqrt(-144)

What is: 

36i

400

Simplify: 

sqrt(-45+21)

What is: 

2isqrt(6)

500

Simplify: 

-4sqrt(-60-12)

What is: 

-24isqrt(2)

Adding and SubtractingComplex Numbers

100

Simplify:

(2-4i)+(4+2i)

What is:

6-2i

200

Simplify:

(3-4i)+(7-8i)

What is:

10-12i

300

Simplify:

(-2+3i)+(4-3i)

What is:

2

400

Simplify:

(-3+4i)-(9-2i)

What is:

-12+6i

500

Simplify:

(-7-4i)-(-8-9i)

What is:

1+5i

graphing/absolute value

100

Graph: 3-2i

200

Graph: -3+5i

300

|-3+4i|

5

400

|4+5i|

\sqrt 41

500

|-2-4i|

2\sqrt 5

Multiplying Complex Numbers

100

Simplify:

(3i)(7i)

What is:

-21

200

Simplify:

3(-2+7i)

What is:

-6+21i

300

Simplify:

2i(5-4i)

What is:

8+10i

400

Simplify:

(3+i)(-5+3i)

What is:

-18+4i

500

Simplify:

(4+3i)^2

What is:

7+24i

Dividing Complex Numbers

100

Simplify:

4/(3i)

What is:

-(4i)/3

200

Simplify:

(3+i)/(5i)

What is:

1/5-(3i)/5

300

Simplify:

4/(2-3i)

What is:

8/13+(12i)/13

400

Simplify:

2/(5-i)

What is:

5/13+i/13

500

Simplify:

i/(2+3i)

What is:

3/13+(2i)/13

Powers of i

100

i^3

-i

200

i^25

i

300

2i^2 + 3i^3

-2i-3i

400

i^100 + i^101 + i^102

i

500

i^0 * i^1 * i^2 * i^3 * i^4

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