One method for simplifying cube roots without a calculator is making a factor tree and looking for trios of the same number. More specifically, we can break any number into its prime factorization using a number tree, and since we're looking for a cube root, any "leaf" that shows up three times represents the cube root of a perfect cube. That value goes outside the cube root once. Here we look at the tip of circling "trios" that get one term outside the radical, and underlining any singleton or pairs of values that will remain inside the cube root.
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