Learn how to rationalize the denominator with a binomial in denominator

The video tutorial explains how to simplify an expression by multiplying by the conjugate. It begins by discussing the purpose of removing the square root and proceeds to demonstrate the use of the conjugate to achieve this. The tutorial covers the application of the distributive property and the difference of squares, leading to the final simplified expression. The instructor emphasizes the importance of understanding each step and checks if further simplification is possible.

What is the purpose of multiplying an expression by its conjugate?

• To make the expression more complex

• To add more terms to the expression

• To eliminate the square root from the denominator

• To increase the value of the expression

When applying the distributive property to the expression, what is the result of multiplying 5 by the negative square root of 3?

• -5

• 5 times the square root of 3

• -5 times the square root of 3

• 5

What mathematical concept is used to simplify the expression after applying the distributive property?

• Sum of cubes

• Difference of squares

• Product of sums

• Quotient of powers

After simplification, what is the final form of the expression in the numerator?

• 25 + 3

• 22

• 28

• 25 - 3

Can the final expression be simplified further?

• Yes, it can be expanded

• Yes, it can be factored

• No, it is already in its simplest form

• Yes, it can be divided by 2