1. Consider each of the roots below. If the root is a rational number, simplify it fully. If it is an irrational number, establish the two integers it lies between. a) \( \sqrt{1} \) b) \( \sqrt{5} \) c) \( \sqrt{0} \) d) \( \sqrt{25} \) e) \( \sqrt{10} \) f) \( \sqrt{3} \)

The roots can be explored in a fun way! For \( \sqrt{1} \), it simplifies to 1, since that’s what you get when you take the square root of 1. It's like the most chill number on the block! Now, \( \sqrt{5} \) is an irrational number; it’s approximately 2.23. So, it comfortably sits between the integers 2 and 3, just hanging out in the middle with its non-repeating, non-terminating friends. For \( \sqrt{0} \), it simplifies to 0, which is such a unique little number, the starting point for everything! When you reach \( \sqrt{25} \), you get 5. It's like using a magic key to open the door to whole number land! As for \( \sqrt{10} \), it’s also irrational, coming in around 3.16, so it enjoys chilling between 3 and 4. Finally, there’s \( \sqrt{3} \). This one’s an interesting character too; it’s about 1.73, finding solace between 1 and 2. There you have it—rational or irrational, each of these roots has its own charming role in the number universe!