Evaluate - square root of -16

Problem

√(,−16)

Solution

1. Identify the expression as the square root of a negative number, which involves the imaginary unit i

2. Apply the property of square roots for negative numbers, where √(,−a)=√(,a)⋅√(,−1) for any positive real number a

3. Substitute the definition of the imaginary unit, where i=√(,−1)

4. Simplify the resulting expression by calculating the square root of the positive real number.

5. Calculate √(,16)=4

Final Answer

√(,−16)=4*i

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