simplify the following rational expression. Use absolute value symbols when needed.

3sqrt8/512 -

To simplify the given rational expression, we can start by simplifying the numerator and denominator individually.

The numerator can be simplified as follows:
3sqrt8 = 3sqrt(4*2) = 3sqrt(4)*sqrt(2) = 3*2sqrt(2) = 6sqrt(2)

The denominator remains unchanged: 512.

So the simplified rational expression is (6sqrt(2))/512.