Evaluate square root of -144

Problem

√(,−144)

Solution

1. Identify the expression as the square root of a negative number, which requires the use of the imaginary unit i where i=√(,−1)

2. Apply the property of square roots for negative numbers, √(,−a)=√(,a)⋅√(,−1)=√(,a)⋅i

3. Substitute the value into the property to get √(,144)⋅i

4. Evaluate the square root of the positive constant, since 12⋅12=144

5. Simplify the final expression by combining the real coefficient and the imaginary unit.

Final Answer

√(,−144)=12*i

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