Evaluate - square root of -144

Problem

−√(,−144)

Solution

1. Identify the expression as the negative of the square root of a negative number.

2. Apply the definition of the imaginary unit i where √(,−1)=i

3. Rewrite the square root using the property √(,−a)=√(,a)⋅√(,−1) for any positive real number a

√(,−144)=√(,144)⋅√(,−1)

4. Calculate the square root of the positive constant 144

√(,144)=12

5. Substitute the values back into the expression, remembering to include the negative sign from the original problem.

−(12⋅i)=−12*i

Final Answer

−√(,−144)=−12*i

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