Questions: Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate "Not a Real Number". √(-361)

Solution Steps

To solve the square root of a negative number, recognize that it involves imaginary numbers. The square root of a negative number $-x$ is $i\sqrt{x}$, where $i$ is the imaginary unit.

We are given the expression $\sqrt{-361}$.

Since the expression involves the square root of a negative number, it will result in an imaginary number. The square root of a negative number $-x$ is $i\sqrt{x}$, where $i$ is the imaginary unit.

We need to find the square root of the positive part of the expression: $$\sqrt{361} = 19$$

Since the original expression was negative, we apply the imaginary unit $i$: $$\sqrt{-361} = 19i$$

Final Answer