Evaluate - square root of -64

Problem

−√(,−64)

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 of the negative number using the property √(,−a)=√(,a)⋅i for a>0

−√(,−64)=−√(,64⋅(−1))

4. Simplify the square root of the positive perfect square.

√(,64)=8

5. Combine the results to find the final value.

−(8⋅i)=−8*i

Final Answer

−√(,−64)=−8*i

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