Complex Numbers

Convert to Complex

100

sqrt(-100)

What is 

10i

200

sqrt(-5)

What is

isqrt(5) 

300

-sqrt(-49)

What is

-7i

400

sqrt(-8)

What is

2isqrt(2) 

500

-sqrt(-11)

What is

-isqrt(11) 

Addition

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+sqrt(-25))+(6-sqrt(-16))

What is

10+i

500

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

What is

7-i

Subtraction

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

100

5i * 8i

What is -40

200

5(-6+2i)

What is

-30+10i

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

Division

100

5/(6i)

What is

(-30i)/36

200

10/(3+i)

What is

(30-10i)/10

300

(-6-i)/(1+5i)

What is

(-11+29i)/26

400

(-2+3i)/(3-2i)

What is

(-12+5i)/13

500

(1+i)/(2-3i)

What is

(-1+5i)/13

Powers of i

100

i^2

What is

-1

200

i^32

What is

1

300

i^15

What is

-i

400

i^42

What is

-1

500

i^9

What is

i