Evaluate square root of -19

Problem

√(,−19)

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

3. Substitute i for √(,−1) to express the result in terms of complex numbers.

4. Simplify the expression by writing the square root of the positive radicand multiplied by i Since 19 is a prime number, √(,19) cannot be simplified further.

Final Answer

√(,−19)=i√(,19)

Want more problems? Check here!