From the problem, erika is not correct that 6i/4 is a rational number because imaginary numbers are not real numbers.
How to identify rational numbers?
Rational numbers are defined as numbers that can be written as a fraction of two integers in the form of a/b where a and b are integers.
Now, If a number line is expanded to become a clear number plane, it would mean that some numbers that are neither rational nor irrational can possibly be plotted. These numbers are are referred to as imaginary numbers which are defined as multiples of the square root of -1. It has no real solution, because the square root of a number is always positive.
We are given the imaginary number as 6i/4 and from the definition above, we can tell that it is neither a rational nor irrational number.
Read more about Rational Numbers at; https://brainly.com/question/12088221
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