Apply foil to rationalize the denominator with two binomials ex 12

The video tutorial explains how to simplify radical expressions involving binomials in both the numerator and denominator. It covers the process of simplifying radicals, using conjugates, applying the FOIL method, and final simplification steps. The tutorial emphasizes the importance of careful calculation and the use of parentheses to avoid errors.

What is the largest square number that evenly divides into 27?

• 25

• 4

• 16

• 9

Why is it important to use the conjugate when simplifying radical expressions?

• To eliminate radicals from the denominator

• To increase the number of terms

• To make the expression more complex

• To avoid using a calculator

When multiplying binomials, which method is used to ensure all terms are accounted for?

• MOIL

• SOIL

• TOIL

• FOIL

What happens to the middle terms when applying the difference of squares?

• They remain unchanged

• They double

• They cancel each other out

• They become negative

How can you simplify sqrt(45) in terms of the largest square number?

• sqrt(4) * sqrt(11)

• sqrt(9) * sqrt(5)

• sqrt(25) * sqrt(2)

• sqrt(16) * sqrt(3)

What is the result of combining -9 sqrt(3) and 5 sqrt(3)?

• -14 sqrt(3)

• -4 sqrt(3)

• 4 sqrt(3)

• 14 sqrt(3)

After simplifying, what is the final expression divided by?

• -3

• -6

• 6

• 3