Question #6450506Fill in the Blank
Algebra-2
Question
Simplify the expression . The simplified form is _________.
Answer & Analysis
Analysis
Question Analysis
This problem tests the student's ability to simplify a cube root expression by factoring the radicand and applying the properties of radicals.
This problem tests the student's ability to simplify a cube root expression by factoring the radicand and applying the properties of radicals.
Key Concept Explanation
The goal is to express the radical in its simplest form, where the radicand has no factors that are perfect cubes. For cube roots, this means no factors that are perfect cubes.
The goal is to express the radical in its simplest form, where the radicand has no factors that are perfect cubes. For cube roots, this means no factors that are perfect cubes.
Step-by-step Solution
1. Factor the radicand into a product of a perfect cube and another factor:
2. Recognize that and , both of which are perfect cubes.
3. Apply the property of radicals for products:
1. Factor the radicand into a product of a perfect cube and another factor:
2. Recognize that and , both of which are perfect cubes.
3. Apply the property of radicals for products:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.
Practice Now - It's Free!