Math Problem Statement
Solution
The question is asking for the square root of .
To solve this, recall that the square root of a negative number involves imaginary numbers. The square root of is represented by the imaginary unit , where:
For , we break it down as follows:
Thus, the square root of is .
The correct answer is (the last option).
Would you like further details or have any questions?
Here are five related questions for further practice:
- What is the square root of ?
- How do you simplify ?
- What is the value of ?
- How do you multiply two complex numbers involving ?
- What is the meaning of an imaginary number?
Tip: When dealing with square roots of negative numbers, always remember that they involve imaginary numbers, represented by .
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Math Problem Analysis
Mathematical Concepts
Imaginary Numbers
Square Roots of Negative Numbers
Formulas
i = √(-1)
√(-16) = √(16) × √(-1) = 4i
Theorems
Square root of negative numbers theorem
Suitable Grade Level
Grades 9-12
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