Solution

36708

Problem / game
A brief introduction to complex numbers Back to problem
First name
Stuart + Melissa
School
St Stephens Carramar
Country
Australia
Age
15

Examples of pairs of complex numbers whose sum is real:

Z1=2+i Z2=2-i

Z1=-3i Z2=3i

Example of pairs of complex numbers whose sum is imaginary:

Z1= 2i+1, Z2= -i-1

Examples of pairs of complex numbers whose product is real:

Z1 = 2i+1, Z2 = -2i+1

Z1 = 4i+1, Z2 = -4i+1

Example of pairs of complex numbers whose product is imaginary

Z1 = i+0, Z2 = i^2+0

Question 6)
to produce a real number, you would need to multiply by another 'i'