Complex Numbers

Pure Imaginary Numbers

100

sqrt(-1)

What is 

i

200

sqrt(-36)

What is

6i

300

-sqrt(-49)

What is

-7i

400

sqrt(-6)*sqrt(3)

3isqrt(2)

500

sqrt(-5)*sqrt(-8)

What is

-2sqrt(10)

Addition(Answer in Standard Form)

100

(3+4i)+(2-7i)

What is

5-3i

200

(-4+3i)+(2-12i)

What is

-2-9i

300

(4-3i)+(-2+5i)

What is

2+2i

400

(4+5i)+(6-4i)

What is

10+i

500

(5+sqrt(-36))+(2-sqrt(-49))

What is

7-i

Subtraction(Answer in Standard Form)

100

(9+5i)-(2+3i)

What is

7+2i

200

(7-4i)-(5-3i)

What is

2-i

300

(-5-i)-(7+4i)

What is

-12-5i

400

(9-7i)-(3-8i)

What is

6+i

500

(3+sqrt(-16))-(-2-sqrt(-100))

What is

5+14i

Multiplication(Answer in Standard Form)

100

5i * 8i

What is -40

200

-3(10i)(7i^2)

210i

300

(1+i)(3+2i)

What is

1+5i

400

(3+8i)(3-8i)

What is 73

500

(2+3i)^2

What is

-5+12i

Powers of i

100

i^2

-1

200

i^4

 

1

300

i^231

-i

400

-2i(4i^3)(-8i^2)

-64

500

i^23*i^16*i^48*i^19*i^11*i^8

i

Division (Answer in Standard Form)

100

(26i^3)/(4i)

-13/2

200

18/(6i^3)

-3i

300

(8-20i)/(-4i)

5+2i

400

(12+3i)/(5i^3)

-3/5+12/5i

500

(8-6i)/(3i^2)

-8/3+2i