Which of the following rational numbers is between im 5 and 10?

Answer 1

In order to determine a rational number between im 5 and 10, we need to convert these numbers to their rational forms.

The imaginary number 5i can be written as 0 + 5i.

Similarly, the imaginary number 10i can be written as 0 + 10i.

Thus, any rational number between 5i and 10i can be expressed in the form 0 + xi, where x is a rational number between 5 and 10.

Since we are looking for a rational number, any value of x in the range 5 < x < 10 will work. For example, 6, 7, 8, 9, etc. are all rational numbers between im 5 and 10.