Simplify square root of -25

Problem

√(,−25)

Solution

1. Identify the square root of a negative number by using the imaginary unit i where i=√(,−1)

2. Rewrite the expression as a product of the square root of a positive number and the square root of −1

√(,−25)=√(,25⋅(−1))

3. Apply the product property of radicals, √(,a⋅b)=√(,a)⋅√(,b)

√(,25)⋅√(,−1)

4. Evaluate the square root of 25 and substitute i for √(,−1)

5⋅i

Final Answer

√(,−25)=5*i

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