Evaluate - square root of -121

Problem

−√(,−121)

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 as the product of the square root of the positive number and the imaginary unit.

√(,−121)=√(,121)⋅√(,−1)

4. Evaluate the square root of the perfect square 121

√(,121)=11

5. Substitute the values back into the expression and apply the leading negative sign.

−(11⋅i)=−11*i

Final Answer

−√(,−121)=−11*i

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