Question #6453283Fill in the Blank
Algebra-1
Question
Simplify the expression. The simplified result is ______ .
Answer & Analysis
Analysis
Question Analysis
This question tests the understanding of even roots of negative exponents. Specifically, it checks if the student can recognize that an even root of a negative number is undefined in the real number system.
This question tests the understanding of even roots of negative exponents. Specifically, it checks if the student can recognize that an even root of a negative number is undefined in the real number system.
Key Concept Explanation
In the real number system, even roots (such as square roots) are only defined for nonnegative bases. If the base is negative and the root index is even, the expression is undefined.
In the real number system, even roots (such as square roots) are only defined for nonnegative bases. 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 = -144, Root index = 2 (even)
2. ...
1. Identify the base and the root index: Base = -144, Root index = 2 (even)
2. ...
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