Question #6450722Fill 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 a radical expression by dividing the radicands and simplifying the result for odd indices.
This problem assesses the ability to simplify a radical expression by dividing the radicands and simplifying the result for odd indices.
Key Concept Explanation
When dividing two radicals with the same index, the index remains unchanged. The quotient of the numerator’s radicand and the denominator’s radicand becomes the new radicand.
When dividing two radicals with the same index, the index remains unchanged. The quotient of the numerator’s radicand and the denominator’s radicand becomes the new radicand.
Step-by-step Solution
1. Confirm conditions: Index = 3 (odd); radicands -128 ∈ ℝ, -8 ≠ 0; same index.
2. Apply division property: .
3. Simplify:
1. Confirm conditions: Index = 3 (odd); radicands -128 ∈ ℝ, -8 ≠ 0; same index.
2. Apply division property: .
3. Simplify:
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