Complex Numbers

Add/Subtract

100

9i+7i

16i

200

-2i+9i

7i

300

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

-2+13i

400

(7i–4)+(6–5i)-(2-3i)

5i

500

sqrt(-4)+sqrt(-100)

12i

Multiply

100

-i(-3)

3i

200

(-1+5i)(-i)

-5+i

300

4i(-5+4i)

-16-20i

400

(-3-5i)(-4-2i)

2+26i

500

(10-8i)(10+8i)

164

Divide

100

-3i/i

-3

200

1/(4i)

-i/4

300

(5+4i)/2i

2-5/2i

400

(7i)/(2-3i)

-21/13+(14i)/13

500

(6+8i)/(3+5i)

29/17-(3i)/17

Powers of i

100

i^3

-i

200

-i^12

-1

300

i^70

-1

400

i^-3

i

500

i^-2321

-i

Radicals Review

100

sqrt(24x^3)

2xsqrt(6x)

200

root(4)(625x^20)

5x^5

300

sqrt(21v^2)*sqrt(35v^7)

7v^4sqrt(15v)

400

-8xsqrt(45x^3)-7sqrt(125x^5)

-59x^2sqrt(5x)

500

(sqrt(6))/(8-7sqrt(2))

(-7sqrt(3)-4sqrt(6))/17