Simplifying a rational radical expression by multiplying by the conjugate

The video tutorial explains how to simplify expressions involving binomials with square roots by using the concept of conjugates and the difference of squares. The instructor revisits previous scenarios of rationalizing denominators and introduces the need for different rules when dealing with binomials. The process involves multiplying by the conjugate to eliminate square roots in the denominator, applying the distributive property, and simplifying the expression to reach the final answer.

What is the process to simplify the expression 2 / sqrt(5) - 1?

Explain the significance of rationalizing the denominator in expressions like 1 / sqrt(2).

What happens when you multiply two binomials that are a difference of two squares?

How do you apply the distributive property when simplifying expressions involving square roots?

What is the final simplified form of the expression after applying the conjugate method?