Simplifying negative radicals

The video tutorial explains how to deal with square roots of negative numbers by introducing the concept of imaginary numbers, represented by 'i'. It demonstrates the process of simplifying such expressions by breaking them down into components, using examples like the square root of -4. The tutorial further explores factoring techniques to simplify square roots, specifically focusing on the example of the square root of -27, and concludes with the final simplified expression.

Describe the relationship between negative numbers and their square roots.

What is the final answer when simplifying 3 times the square root of -27?