Complex & Imaginary Numbers

Simplify Radicals

100

Simplify \sqrt{63} 

The answer is 

3\sqrt7

200

Simplify 

\sqrt{98}

The answer is 

7\sqrt2

300

Simplify  

-5\sqrt{72}

The answer is 

-30\sqrt2

400

Simplify 

-\sqrt{128

The correct answer is 

-8\sqrt2

500

Simplify 

-3\sqrt{216

The answer is 

-18\sqrt6

Imaginary Numbers

100

What is 7i - 10i?

-3i

200

Simplify 

sqrt{-9}+\sqrt{-36}

The correct answer is 

9i

300

Simplify 

sqrt{-12}-\sqrt{-147}

The correct answer is 

-5i\sqrt3

400

Simplify  2\sqrt{-50}-sqrt{-18} 

The answer is 

7i\sqrt2

500

Simplify sqrt{-125}+\sqrt{-45}

The answer is 

8i\sqrt5

Simplify Powers of i

100

Simplify 

i^7

The answer is -1i

200

Simplify 

i^6

The answer is -1

300

Simplify 

i^13

The answer is i

400

Simplify

i^14

The answer is 1

500

Simplify 

i^23

The answer is -1i

Adding & Subtracting Complex Numbers

100

(9-4i)+(-1-7i)

8-11i

200

(6+2i)+(1-2i)

7

300

(3i+8)-(-4+2i)

12-i

400

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

-12-8i

500

-3(4-8i)-2(1+6i)

-14+12i

Multiplying Complex Numbers

100

6(2i)

12i

200

5i(5-5i)

25+25i

300

(-3i)(-3i)

-9

400

(6+i)(5-2i)

32-7i

500

(-2-i)(4+i)

-7-6i