Rationalizing the denominator with two radicals in the denominator

The video tutorial explains how to simplify radical expressions by rationalizing the denominator. It begins with an introduction to the concept of using conjugates for rationalization. The tutorial then demonstrates the application of the distributive property and the product of radicals in simplifying expressions. It further explains the process of simplifying the denominator using the difference of squares. Finally, the video concludes with the final simplification and presentation of the answer.

What is the purpose of multiplying by the conjugate when rationalizing the denominator?

• To change the sign of the numerator

• To add more terms to the expression

• To simplify the numerator

• To eliminate radicals from the denominator

Which property is used to simplify the expression by canceling out the middle terms?

• Distributive Property

• Difference of Squares

• Commutative Property

• Associative Property

What is the result of multiplying sqrt 11 by sqrt 3?

• sqrt 14

• sqrt 33

• sqrt 22

• sqrt 36

How do you simplify the expression 3 sqrt 33 divided by -45?

• sqrt 33 / 15

• -sqrt 33 / 45

• sqrt 33 / 45

• -sqrt 33 / 15

What happens to the sign of the expression when dividing a negative by a negative?

• It becomes negative

• It remains unchanged

• It becomes positive

• It remains negative