Evaluate - square root of -25

Problem

√(,−25)

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)=√(,−1)⋅√(,a) for any positive real number a

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

4. Calculate the square root of the positive real number, which is √(,25)=5

5. Combine the results to find the final imaginary value.

Final Answer

√(,−25)=5*i

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