I need to know which of these are rational numbers.

For a number to be rational, it must be able to be expressed as a fraction of two integers, from the list in the question, the rational numbers are:
[tex]1.25=\frac{125}{100}[/tex][tex]23.5\bar{20}=\frac{23285}{990}[/tex][tex]\frac{20}{23}[/tex][tex]\sqrt[]{0.04}=0.2=\frac{1}{5}[/tex][tex]-88=\frac{-88}{1}[/tex]