Thanks to the comments on my previous post, I learned that there is a much easier way to make some of the sets I described. To make the set, I originally suggested measuring a 60 degree angle. Here is a much better way.
Use the set that was built in the previous post, and place it on a different color of card stock grid paper.
Create a right triangle with legs 1 and . This makes the hypotenuse .
Use the rest of the set to make right triangles with legs 2 and , 3 and , 4 and , 5 and , 6 and , 7 and , and 8 and .
Cut them out, and you have a much easier set to put on your radical ruler.
You could use similar patterns to create other sets. For example, you can make a set by using your set. Make triangles with legs 1 and and their multiples, and you have a set.
Thanks again for all the feedback on that last post. You have helped make this activity even better.