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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
Group up the factor(s) in the radicand into the largest multiple of the root-value (that is at most the original
power of the term in the radicand) and whatever remainder is left over after you separate out that many of the
factor.
Pull the portion of the factor that is a multiple of the root-value outside of the radical, dividing the power by the root-value (the
result should be a whole number, since it is a multiple of the root-value).
Most students struggle with using absolute values or not - this question code has been tested quite thoroughly, so chances are
good that if the answer is rejected, it’s for a good reason. Don’t be afraid to post in the discussion forum or email the
TA or instructor or attend office hours in order to verify if your answer is correct - or where any problem might
be.
Simplify the following radical. Notice that the root symbol is already supplied for you so you only need to supply the inside and
outside functions (no need to expand them!)
Theoretically Medium Difficulty Problem
Group up the factor(s) in the radicand into the largest multiple of the root-value (that is at most the original
power of the term in the radicand) and whatever remainder is left over after you separate out that many of the
factor.
Pull the portion of the factor that is a multiple of the root-value outside of the radical, dividing the power by the root-value (the
result should be a whole number, since it is a multiple of the root-value).
Most students struggle with using absolute values or not - this question code has been tested quite thoroughly, so chances are
good that if the answer is rejected, it’s for a good reason. Don’t be afraid to post in the discussion forum or email the
TA or instructor or attend office hours in order to verify if your answer is correct - or where any problem might
be.
Simplify the following radical. Notice that the root symbol is already supplied for you so you only need to supply the inside and
outside functions (no need to expand them!)
Theoretically Harder Difficulty Problem
Group up the factor(s) in the radicand into the largest multiple of the root-value (that is at most the original
power of the term in the radicand) and whatever remainder is left over after you separate out that many of the
factor.
Pull the portion of the factor that is a multiple of the root-value outside of the radical, dividing the power by the root-value (the
result should be a whole number, since it is a multiple of the root-value).
Most students struggle with using absolute values or not - this question code has been tested quite thoroughly, so chances are
good that if the answer is rejected, it’s for a good reason. Don’t be afraid to post in the discussion forum or email the
TA or instructor or attend office hours in order to verify if your answer is correct - or where any problem might
be.
Simplify the following radical. Notice that the root symbol is already supplied for you so you only need to supply the inside and
outside functions (no need to expand them!)
