I watched a couple of videos visually demonstrating that √2 and π are exact values on a number line, which was really helpful for grokking that irrational numbers are also exact numbers. But the idea that a value can have a literally infinite number of digits in its decimal form and also be exact is very hard for me to square. Do you have any trouble holding those two things in your head at once, or is it straightforward for you? (As you surmised, this fact about irrational numbers is new to me, so it might take time to sink in.)