Evaluate square root of -15

Problem

√(,−15)

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

4. Simplify the remaining radical √(,15) Since 15=3⋅5 and has no perfect square factors, the radical cannot be simplified further.

Final Answer

√(,−15)=i√(,15)

Want more problems? Check here!