Answer the following questions related to expressions whose denominators contain a single square root.
a. (i) Why is m irrational when m is a positive integer that is not a perfect square?
b. (ii) Describe, in words, the operation you would perform to write mp in an equivalent form that has a rational denominator.
c. (iii) Apply the process you described in part (ii) to 83 and write the final answer in its simplest radical form.