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

Solving Complex Numbers

100

x^2+48=0

4i√3

200

4x^2+15=59

√11

300

9x^2+44=-5

7i / 3

400

4+x^2-15=12

√23

500

-2x^2-15=15

i√15

Miscellaneous

100

Which numbers are in the natural numbers set?

31, 0, √2, 3/4, -23, 1967

31, 1967

200

Which numbers are in the integers set:

3, 0, 3/4, -4/5, -595, 3.56, √7

3, 0, -595

300

Which numbers are in the rational numbers set:

3/8, -4, 847, √13, 6.3, 3.582483.., -7/10

3/8, -4, 847, 6.3, -7/10

400

Write the number in complex number form:

13 + √-300 -  7

6 + 10i√3

500

(10+√-12) / 2

5+i√3