Incorrect. Remember that the category of rational numbers includes all numbers that can be expressed as a ratio of two integers (that is, as a fraction), and real numbers include both rational and irrational numbers. $\displaystyle{3}\sqrt{{{7}}}\usepackage{cmbright}\Huge\$ is a non-repeating and non-terminating decimal. What category should it be in? Can $\displaystyle{0.3}{\overline{{3}}}\usepackage{cmbright}\Huge\$ be written as a fraction?