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What is a small(ish) number that can be rooted that fits into that? Like 9,16,25,36.

Not 2, that can't be rooted. In this case you would use 16.

Then, 32/16 = 2, so you are left with a 2 in the radical, and the root of 16 outside of it.

so the answer is 16 radical 2

Does that make sense?

yes thanks