Complex Arithmetic flashcards
18 practice cards drawn from the Complex Arithmetic lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.
Read the Complex Arithmetic lessons in full →
Is there a real number whose square is −3?
no
from “Roots of Negative Numbers”
Is there a real number whose square is −4?
no
from “Roots of Negative Numbers”
What is ?
8i
from “The Imaginary Unit”
What is ?
7i
from “The Imaginary Unit”
What is ?
−1
from “Powers of i”
What is ?
−i
from “Powers of i”
(2 + 3i) + (5 + 3i)
7 + 6i
from “Adding Complex Numbers”
(2 + 5i) + (1 + 2i)
3 + 7i
from “Adding Complex Numbers”
4i × 4i
-16
from “Multiplying Complex Numbers”
5i × 5i
-25
from “Multiplying Complex Numbers”
(1 + 2i)(1 − 2i)
5
from “Complex Conjugates”
(3 + 6i)(3 − 6i)
45
from “Complex Conjugates”
To divide by 1 + 2i, multiply by which conjugate?
1 − 2i
from “Dividing Complex Numbers”
To divide by 4 + 3i, multiply by which conjugate?
4 − 3i
from “Dividing Complex Numbers”
Solve
from “Complex Roots of a Quadratic”
Solve
from “Complex Roots of a Quadratic”
has real coefficients and root 2 + 3i. Name another root.
2 − 3i
from “Complex Roots of a Cubic”
A cubic has roots . What real quadratic factor do they give?
from “Complex Roots of a Cubic”