A whole number A negative number A rational number An irrational number
Looking back at your choices for $n$ and $x$, list any restrictions on the values in each case.
*Please guys help me with this. I have a test tomorrow and this is not explained in the textbooks!!!
Think about this naturally. $n \sqrt{x}$ will be a whole number if $n \in \mathbb{N} $ and $\sqrt{x} \in \mathbb{N} \Rightarrow x$ is a perfect square (4, 9, 25, etc). It it will be a negative number if $n < 0$, since $Re(\sqrt{x}) \geq 0, \forall x$. I will let to you to decide when it is a rational or irrational number. Think you can take it from here?