I have to write an essay and this is the main question of the essay, and I'm massively stuck.

All I have so far is the difference of squares theorem, which I think might just be massively irrelevant. The module is Using Radicals to Solve and I not only don't understand the question, I can't find any relevant resources.

I just don't think I'm going in the right direction so it would be so so so appreciated if somebody could give me their interpretation of what I'm being asked, or even point me in the right direction of some online resources etc.

Thank you so much