How can I show I've done research around what I want to study at university?

The main thing here is to remember that every aspect of your personal statement must show you're a good match to the course. Having done research is great, and there is definitely space to show it in a personal statement, but it needs to be relevant to your course. For example, talking about shadowing a nurse as work experience is more relevant to a nursing application than having read five academic articles about nursing practices, as it is a practical example for a practical course. The research you have done need to showcase skills you have that are essential to your course: some of the targeted skills can be found on university course pages, and in the case of medical professions on the NHS careers website. When including articles and books, such as for more academic subjects, remember to not just summarise the book you've been reading. Everyone can write a book summary! Instead, show how that work relates to your desire to study the subject further, and point out how you personally engaged with the text. What did you like or didn't like about it? How did it tie in to your school studies? Could you apply any of the arguments to another case study? Did you learn about something new? How does that tie in to your course? Make sure you always bring it back to the main point: you want to study this subject at university and are the ideal candidate.