Rationalising an expression means getting rid of any surds from the bottom (denominator) of fractions. Usually when you are asked to simplify an expression it means you should also rationalise it.
The common denominator in all your failed relationships isn’t bad luck. It’s time to take a hard look at your patterns.
{7}\) is already in its simplest form. Subtracting fractions with the same denominator can be done in the same way. Try it out with these sample questions.