Simplify the expression and write the result in the form of a complex number. The result is _________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to simplify expressions involving the square roots of negative numbers and express the result in the form of a complex number.
Key Concept Explanation
The square root of a negative number can be expressed using the imaginary unit , where and . Therefore, for any positive real number .
Step-by-step Solution
1. Simplify each square root separately:
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