Multiply by the conjugate for a rational expression

The video tutorial explains how to handle imaginary numbers in mathematical expressions, focusing on simplifying expressions by removing imaginary numbers from the denominator. It introduces the concept of multiplying by the conjugate and demonstrates the difference of two squares and FOIL method for binomial multiplication. The tutorial emphasizes the importance of understanding the properties of imaginary numbers, particularly the powers of i, to simplify expressions effectively.

How do you simplify the expression involving 'i' squared?

What is the final result of the expression after applying the conjugate and simplifying?