Question #6450736Fill in the Blank
Algebra-2
Question
Simplify the expression . The simplified form is __________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to simplify radical expressions by dividing the radicands and simplifying the result for cube roots.
This problem assesses the ability to simplify radical expressions by dividing the radicands and simplifying the result for cube roots.
Key Concept Explanation
When dividing two radicals with the same index, the quotient of the radicands becomes the new radicand. The expression can then be simplified further if possible.
When dividing two radicals with the same index, the quotient of the radicands becomes the new radicand. The expression can then be simplified further if possible.
Step-by-step Solution
1. Confirm conditions: Index = 3 (odd); radicands -216 ∈ ℝ, -8 ≠ 0; same index.
2. Apply division property:
1. Confirm conditions: Index = 3 (odd); radicands -216 ∈ ℝ, -8 ≠ 0; same index.
2. Apply division property:
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