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 initial expression that needs to be simplified in the video?

• sqrt 5 + 1

• 4th root of 5X

• 1 / sqrt 2

• 2 / sqrt 5 - 1

Why is it necessary to use the conjugate when dealing with binomials?

• To divide the terms

• To eliminate the square root in the denominator

• To add the terms together

• To multiply the terms

What happens to the middle terms when multiplying binomials that are a difference of two squares?

• They become negative

• They remain unchanged

• They add up to zero

• They double

What is the result of multiplying sqrt 5 by sqrt 5?

• 10

• sqrt 5

• 5

• sqrt 10

What is the final simplified form of the expression?

• sqrt 5 + 1 / 2

• 1 / sqrt 2

• 4th root of 5X

• 2 / sqrt 5 - 1