How You Can (And Should) Get More Practice!

Below is a few practice problems of various difficulty, but you will need considerably more practice than one each. For that reason you should definitely use the green “Try Another” button in the top right corner at least two or three times to complete additional versions of these questions for more practice. You should keep using that button until doing these problems feels straight forward and easy, and then come back after a week or so of doing other stuff and try again to make sure it is still just as easy for you.

Theoretically Easier Difficulty Problem

You can use a prime factor tree to get the prime factorization of .
Remember that, if there is nothing you can simplify out, then you should enter “1” in as the outside coefficient. Likewise, if you manage to simplify out everything, then you should enter “1” as the remainder inside the root.

Simplify the following radical: =

Theoretically Medium Difficulty Problem

You can use a prime factor tree to get the prime factorization of .

Simplify the following radical: =

Theoretically Harder Difficulty Problem

You can use a prime factor tree to get the prime factorization of which is:

Simplify the following radical: =