JZM1 Finite Mathematics Task 4: Ordering

Part A: Given that x and y are positive integers, explain why it is incorrect to claim that is always irrational First, we need to understand what an irrational number is. By definition, an irrational number is a set of numbers whose decimal representations are neither terminating nor repeating (Blitzer, 2017). It is incorrect to claim that is always irrational for two reasons. One being that not all square roots are irrational. The second reason is that if y is a perfect square, then it is a rational number. For example, if x 2 and y 9 then the result is which is a rational number because the decimal representation of is repeating which by definition, is a rational number. Part B: Given that 0 A...