Operations with 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 Complex Numbers

100

Simplify:

(4i)+(2i)

What is:

6i

200

Simplify:

(4+2i)+(7+5i)

What is:

11+7i

300

Simplify:

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

What is:

6-2i

400

Simplify:

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

What is:

10-12i

500

Simplify:

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

What is:

2

Subtracting Complex Numbers

100

Simplify:

(8i)-(3i)

What is:

5i

200

Simplify:

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

What is:

-3-7i

300

Simplify:

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

What is:

7i

400

Simplify:

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

What is:

-12+6i

500

Simplify:

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

What is:

1+5i

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