Question #6450781Fill in the Blank
Algebra-2
Question
Rationalize the expression , where . The result is ________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to rationalize a denominator with a cube root.
This problem assesses the ability to rationalize a denominator with a cube root.
Key Concept Explanation
To rationalize a denominator with a cube root, multiply both the numerator and the denominator by the appropriate factor to eliminate the radical. For a cube root, this involves multiplying by the missing power of the radicand.
To rationalize a denominator with a cube root, multiply both the numerator and the denominator by the appropriate factor to eliminate the radical. For a cube root, this involves multiplying by the missing power of the radicand.
Step-by-step Solution
1. Identify the rationalizing factor: , so the rationalizing factor is
2. Multiply the numerator and the denominator by :
1. Identify the rationalizing factor: , so the rationalizing factor is
2. Multiply the numerator and the denominator by :
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