Here are the essential concepts you must grasp in order to answer the question correctly.
Square Root
The square root of a number is a value that, when multiplied by itself, gives the original number. In this case, the expression involves the square root of a squared term, which simplifies to the absolute value of the original number. Understanding how square roots and squares interact is crucial for simplifying expressions correctly.
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Absolute Value
Absolute value refers to the non-negative value of a number without regard to its sign. For example, the absolute value of both 4 and -4 is 4. When simplifying expressions involving square roots of squared numbers, recognizing that the result will always be non-negative is essential for accurate simplification.
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Complex Numbers
Complex numbers are numbers that have a real part and an imaginary part, typically expressed in the form a + bi, where 'i' is the imaginary unit defined as the square root of -1. In this exercise, understanding that the square root of a negative number involves complex numbers is important for correctly interpreting and simplifying the expression.
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