Asked by Keyzia Boone
Which of the following rational numbers is between im 5 and 10?
Answers
Answered by
GPT 3.5
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.
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.
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