Simplify the expression . Write your answer in the form where and are integers.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to simplify cube roots by factoring the radicand into a product of a perfect cube and another factor.
Key Concept Explanation
The goal is to express the radical in its simplest form, where the radicand has no factors that are perfect cubes, and no radicals in the denominator.
Step-by-step Solution
1. Factor the radicand into a product of a perfect cube and another factor: .
2. Recognize that and are perfect cubes: and
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