A purely imaginary number is a number that can be written in the form \( bi \), where \( b \) is a real number and \( i \) is the imaginary unit defined by \( i = \sqrt{-1} \).
Examples of purely imaginary numbers include:
- \( 3i \)
- \( -7i \)
- \( \frac{1}{2}i \)
- \( 2\sqrt{2}i \)
These numbers are purely imaginary because they do not have a real part (the coefficient of \( i \) is zero or non-existent). Therefore, any number in the form \( bi \) where \( b \neq 0 \) is purely imaginary.Answer:
Step-by-step explanation: