Question #6450730Fill in the Blank
Algebra-2
Question
Simplify the expression . Write your answer in the form _____________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to simplify a radical expression with coefficients by dividing both the coefficients and the radicands, and then simplifying the result.
This problem assesses the ability to simplify a radical expression with coefficients by dividing both the coefficients and the radicands, and then simplifying the result.
Key Concept Explanation
When dividing two radicals with the same index, the index remains unchanged. The quotient of the numerators’ coefficients and the denominators’ coefficients becomes the new coefficient. 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 numerators’ coefficients and the denominators’ coefficients becomes the new coefficient. The quotient of the numerator’s radicand and the denominator’s radicand becomes the new radicand.
Step-by-step Solution
1. Separate the coefficients and the radicals:
2. Simplify the coefficients:
3. Simplify the fraction inside the radical:
1. Separate the coefficients and the radicals:
2. Simplify the coefficients:
3. Simplify the fraction inside the radical:
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