Complex Numbers

Convert to Complex

100

sqrt(-100)

What is 

10i

200

sqrt(-5)

What is

isqrt(5) or sqrt(5)i

300

-sqrt(-49)

What is

-7i

400

sqrt(-9)

What is 3i

500

-sqrt(-11)

What is

-isqrt(11) or-sqrt(11)i

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

-30(10i)

-300i

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

Solving Square Root Equations

100

x²=121

What is x=+/- 11

200

x²=-20

 What is +/-2i square root 5

300

x²+6=-36

What is +/- i square root 42

400

2m²+10=0

What is +/- i square root 5

500

3/4 x²+12 = 0

What is =/- 4i

Powers of i

100

  i^2

What is

-1

200

i^15

What is -i

300

i^9 

What is i

400

i^32

What is

1

500

i^42

What is -1