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 + 12i

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)

8 + 13i

400

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

8 + 56i

500

2i(3+5i)^2

-60 - 32i

Multiplying/Dividing Radicals

100

sqrt(-48)/sqrt(-6)

-2sqrt(2)

200

sqrt(-12)*sqrt(-6)

-6sqrt(2)

300

sqrt(-4)/sqrt(-100)

1/5

400

sqrt(-15)*sqrt(3)

3isqrt(5)

500

sqrt(-2)*sqrt(-10)*sqrt(5)

-10