Complex Numbers

Simplify

100

Simplify 

i^56

1

200

Simplify 

i^23

-i

300

Simplify the following: √(-72)

6i√2

400

Simplify the following: 3√(-200)

30i√2

500

Simplify the following:  3i^2 +5i^62 

 -8 

Adding & Subtracting Complex numbers

100

(3 +4i)+(5+5i)

8 + 9i

200

(2 -3i)+(6+7i)

8 + 4i

300

(-6 -i)+(2-3i)

-4 - 4i

400

(6 +7i)-(3+5i)

3+2i

500

(8 +i)-(-2-2i)

10+3i

Multiplying & Dividing Complex Numbers

100

(3 +4i)(5+5i)

-5 + 35i

200

(1 -3i)/(7+4i)

-1/13 - (5/13)i

300

3i / (2-i)

-3/5 + (6/5) i

400

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

13

500

(2 +5i)²

-21+20i

Perform the following operation

100

(4 +i)-(6+2i)

-2-i

200

(2 +2i)(4+i)

6+10i

300

(2 +7i)+(4+6i)

6 + 13i

400

(6 +2i)/(4+8i)

1/2 - 1/2 i

500

(3+5i)²

-16+30i

Mixed Bag

100

What is the conjugate of -5i + 3

3 +5i

200

What is the sum of 4 - 7i and the conjugate of 2 + 3i?

6 - 10i

300

2(4i)-5(i²)

5+8i (has to be in correct form)

400

-(3+6i²)+2(5i⁴)

13

500

What is the product of 3 + 5i and the conjugate of i - 2?

-1 - 13i