Complex Numbers

Simplifying

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: √(-48)

√(-48)= √(16) √(3)i = 4√(3)i

Adding/Subtracting

100

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

8 + 9i

200

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

8 + 4i

300

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

-4 - 4i

400

3(6 +7i)-4(3+5i)

6+i

500

(8 +i)-2(-2-2i)+5(-3+5i)

-3+30i

Multiplying/Dividing

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

Mixbag

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

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

-16+30i