Evaluate square root of -11

Problem

√(,−11)

Solution

1. Identify the expression as the square root of a negative number, which requires the use of the imaginary unit i

2. Apply the property of square roots for negative numbers, which states that √(,−a)=√(,−1)⋅√(,a) for any positive real number a

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

4. Simplify the expression by writing the result in terms of i

Final Answer

√(,−11)=i√(,11)

Want more problems? Check here!