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)
   b)
   c)
   d)
   e)
   f)

The roots can be explored in a fun way!

For , 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, 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 , it simplifies to 0, which is such a unique little number, the starting point for everything!

When you reach , you get 5. It’s like using a magic key to open the door to whole number land!

As for , it’s also irrational, coming in around 3.16, so it enjoys chilling between 3 and 4.

Finally, there’s . 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!