Complex numbers and operations on them
Answers are for parents and teachers.
1
Compute (2 − i)(3 + 4i).
10 + 5i
2
Compute (3 + i)/(1 − i).
1 + 2i
3
If (x + 2i) + (3 − yi) = 7 + 5i, find the real numbers x and y.
x = 4, y = −3
4
Find i¹⁵.
−i
5
Why can i not be a real number?
The square of any real number is non-negative, while i² = −1 is negative.