Rationalizing the denominator with a radical binomial

The video tutorial explains how to handle binomials by multiplying with their conjugates. It demonstrates the use of the FOIL method, particularly focusing on the difference of squares. The tutorial simplifies expressions involving square roots and provides tips on how to present answers in tests. The session concludes with a review of the key concepts covered.

What is the purpose of multiplying a binomial by its conjugate?

• To simplify the expression

• To eliminate the square root

• To add the terms together

• To change the sign of the terms

When using the FOIL method, what is the significance of the difference of squares?

• It allows you to skip multiplying the outer and inner terms

• It requires multiplying all terms

• It only applies to addition

• It changes the sign of the result

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

• 1

• 0

• 3

• sqrt 6

How can the expression 5 + 5 sqrt 3 / sqrt -3 be simplified further?

• By multiplying by sqrt 3

• By expressing it as -5/2 - 5/2 sqrt 3

• By dividing each term by 2

• By adding 3 to both terms

What is the final simplified form of the expression discussed in the video?

• 3 - sqrt 3

• 1 + sqrt 3

• -5/2 - 5/2 sqrt 3

• 5 + 5 sqrt 3