Question #6453273Fill in the Blank
Algebra-1
Question
Simplify the expression. The simplified result is ______ .
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's understanding of the domain restrictions for even roots in the real number system.
This question evaluates the student's understanding of the domain restrictions for even roots in the real number system.
Key Concept Explanation
Even roots are only defined for nonnegative bases in the real number system. If the base is negative and the root index is even, the expression is undefined.
Even roots are only defined for nonnegative bases in the real number system. If the base is negative and the root index is even, the expression is undefined.
Step-by-step Solution
1. Identify the base and the root index: Base = -125, Root index = 2 (even)
2. Check if the base is nonnegative: -125 is negative
3. S...
1. Identify the base and the root index: Base = -125, Root index = 2 (even)
2. Check if the base is nonnegative: -125 is negative
3. S...
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