Add
Subtract
Multiply
Divide
Conjugate
Modulus
Properties of Complex Numbers
100

The sum of  2i and  i 

What is  3i 

100

Simplify  1-(-i). 

What is  1+i? 

100

Simplify  4(sqrt(-9)) 

What is  12i ?

100

Simplify  1/i .

What is  -i? 

100

The conjugate of  1+sqrt(2) .

What is  1-sqrt(2)? 

100

The modulus of a complex number may also be called this. 

What is the length?

100

To add or subtract complex numbers, we do this. 

What is "combine like terms"? OR

What is "combine the real parts and the imaginary parts"?

200

The sum of  1+i and  -2i 

What is  1-i? 

200

Simplify  4-(2+i). 

What is  2-i? 

200

Simplify  sqrt(-4)(\sqrt(16)) 

What is  8i? 

200

Simplify  1/(1+i) .

What is  (1-i)/2? 

200

The conjugate of  i .

What is  -i? 

200

Determine the modulus of the complex number:  2+i .

What is  sqrt(5)? 

200

Multiplying two complex numbers together has these three important steps. 

What are FOILing, then changing i-squared to negative one, and finally combining like terms? 

300

The sum of  -1+3i and  2-4i .

What is  1-i ?

300

Simplify  (1+i) - (4+sqrt(-16)) .

What is  -3-3i? 

300

Simplify  sqrt(-25)(4+2i) .

What is  20i -10? 

300

Simplify  4/(2-i). 

What is  8/5+4/5i? 

300

Simplify  \overline{1-i}. 

What is  1+i? 

300

Simplify |sqrt(4)+sqrt(-2)|.  .

What is  sqrt(8)? 

300

Dividing complex numbers involves this process. 

What is rationalizing the denominator?

400

The sum of  1/2+2/3i and  3/4-i 

What is  5/4-1/3i 

400

Simplify  (sqrt(-25)+sqrt(36))-(sqrt(16)+sqrt(-9)). 

What is  2+2i? 

400

Simplify  (1+i)(1-2i) 

What is  3-i? 

400

Simplify  (5i)/(3-2i) 

What is  -10/13+15/13i? 

400

Simplify  \overline{sqrt(2)+sqrt(-4)} 

What is  sqrt(2)-2i? 

400

Simplify  |sqrt(-16)+sqrt(5)|. 

What is  sqrt(21)? 

400

True of False, the complex numbers enjoy the same arithmetic properties as the real numbers, such as commutative and distributive properties. 

What is True?

500

The sum of  2sqrt(2)i + 4/7i^2 and  8/14-sqrt(8)i 

What is zero?

500

Simplify  (1+i)/2-(3/6-(5sqrt(-1))/10). 

What is  i ?

500

Simplify  (2sqrt(-4)-i)(4sqrt(-36)+i). 

What is  -75? 

500

Simplify  (27-15i)/(3+3i). 

What is  2-7i? 

500

The conjugate of  overline{i(4-i)}. 

What is  1+4i ?

500

The modulus of  -sqrt(-4). 

What is 2?

500

Because square roots of negative values are possible in the complex number system, we refer to the set of complex numbers as being algebraically _________. 

What is "complete"?

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