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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 $\sqrt{3}$set, I originally suggested measuring a 60 degree angle.  Here is a much better way.

Use the $\sqrt{2}$ 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 $\sqrt{2}$.  This makes the hypotenuse $\sqrt{3}$.

Use the rest of the $\sqrt{2}$ set to make right triangles with legs 2 and $\sqrt{8}$, 3 and $\sqrt{18}$, 4 and $\sqrt{32}$, 5 and $\sqrt{50}$, 6 and $\sqrt{72}$, 7 and $\sqrt{98}$, and 8 and $\sqrt{128}$.

Cut them out, and you have a much easier $\sqrt{3}$ set to put on your radical ruler.

You could use similar patterns to create other sets.  For example, you can make a $\sqrt{6}$ set by using your $\sqrt{5}$ set.  Make triangles with legs 1 and $\sqrt{5}$ and their multiples, and you have a $\sqrt{6}$ set.

Thanks again for all the feedback on that last post.  You have helped make this activity even better.