Are some irrational questions more irrational than others? (A-Level EPQ)

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I'm currently researching the question 'Are some irrational questions more irrational than others?' for an extended project qualification I aim to write. My research has led me to seeing how spokes on a virtual flower can show the golden ratio as the most irrational number, as it is the hardest to approximate. But further research has led me to discovering the liouville-roth irrationality measure, which finds pi to be the most irrational. As an A-level maths and further maths student I am fascinated by this topic but find some of the content available online a little hard to understand. I was wondering if anybody had any opinions or explanations that could help me.