Evaluate - square root of -9

Problem

√(,−9)

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 square root of the positive constant, since √(,9)=3

Final Answer

√(,−9)=3*i

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