Question #6450733Fill 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 both the coefficients and the radicands, and then simplifying the result.
This problem assesses the ability to simplify a radical expression 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 quotient of the numerators’ coefficients and the denominators’ coefficients becomes the new coefficient, and 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 numerators’ coefficients and the denominators’ coefficients becomes the new coefficient, and the quotient of the radicands becomes the new radicand. The expression can then be simplified further if possible.
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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