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

100

5(2 - 3i)

10 - 15i

200

3i(4 - i)

3+12i

300

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

-5 + 35i

400

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

13

500

(2 +5i)²

-21+20i

Miscellaneous Operations

100

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

-2-i

200

(2 +2i)(4+i)

6+10i

300

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

8 + 13i

400

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

-24 + 56i

500

(3+5i)²

-16+30i

Powers of i

100

i²⁰

1

200

i¹⁵

-i

300

i³⁸

-1

400

i¹³

i

500

i¹⁴*i³

i