Complex Numbers

Simplify the radicals

100

Simplify the following: √(-36)

6i

200

Simplify the following: √(-200)

10i√2

300

Simplify the following: √(-75)

5i√3

400

Simplify the following: √(-72)

6i√2

500

Simplify the following: √(-12)

Simplify the following: 2i√3

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)(2+4i)

14-2i

300

3i / 4-i

-(3/17) + (12/17) i

400

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

13

500

(2 +5i)^2

-21+20i

Preform 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

Complex Conjugates

100

The conjugate of 5+3i

5-3i

200

The conjugate of a-bi

a+bi

300

Multiply 8+i by its complex conjugate 

65

400

Multiply -2+2i by its complex conjugate

8

500

The type of number that results from multiplying a pair of complex conjugates.

A real number