Operations
The Complex Plane
Changing Forms
DeMoivre's Thm
Roots
100
Simplify -3 + 4i + 2 - 5i
What is -1 - i
100
Find the modulus of 5 - 6i
What is the square root of 61?
100
What is z = 4e^(-2pi/3)i in Cartesian form?
What is -2 -2i(sqrt 3) ?
100
(1 + i)^10
What is 32i ?
100
What are the cube roots of 4 + 4i(sqrt 3)?
What are 2cis(pi/9), 2cis(7pi/9) and 2cis(13pi/9)?
200
(-3 + 4i) - (2 -5i)
What is -5 + 9i
200
What is the modulus of |(3 + 4i)(5 + 12i)|?
What is 65?
200
Write -3 - 3i in exponential (Euler's) form.
What is 3(sqrt 2)e^(5ipi/4) ?
200
Evaluate (sqrt3 - i)^7. Put your answer in Cartesian form.
What is -64i + 64(sqrt 3)
200
Solve z^5 = 32
What are 2, 2cis(2pi/5), 2cis(4pi/5), 2cis(6pi/5), and 2cis(8pi/5)?
300
(2 - 7i)(3 + 4i)
What is 34 - 13i
300
What is the argument of 1 - i?
What is -pi/4?
300
Write z = 4 cis(7pi/12) in Cartesian form.
What is -1.04 +3.86i ?
300
What are the square roots of 2 + 2i(sqrt3) ?
What is +/- 2cis(pi/6)?
300
Solve z^8 = -i
What are cis(3pi/16), cis(7pi/16), cis(11pi/16), cis(15pi/16), cis(19pi/16), cis(23pi/16), cis(27pi/16) and cis(31pi/16)
400
(3 + 2i)/((2 + 5i)
What is 16/29 - 11i/29
400
If z = cis(pi/2) and w = cis(pi/3), what is the product of z and w?
What is cis(5pi/6)?
400
What is 2 - 2i(sqrt3) in Euler's form?
What is 4e^(-pi/3)i ?
400
Evaluate (2 - 2i)^(12)
What is -262144?
400
Solve z^6 - 64i = 0
What are 2cis(pi/12), 2cis(5pi/12), -sqrt2 + i(sqrt 2), 2cis(13pi/12), 2cis(17pi/12) , 2cis(21pi/12)
500
3 + 2i/(2 - i)
What is 13/5 + 4i/5
500
If z = cis(pi/2) and w = cis(pi/3), what is z*/w^2 ?
What is cis(5pi/6)?
500
Evaluate e^i*pi .
What is -1?
500
Express (5 + 5i)^6 in Cartesian form.
What is -125000i ?
500
Solve z^3 + 4(sqrt3) - 4i = 0
What is 2cis(5pi/18), 2cis(17pi/18) and 2cis(29pi/18)?
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