Rationalize the denominator with a radical

The video tutorial explains the process of rationalizing denominators by removing roots from the bottom of fractions. It introduces the concept of multiplying by the conjugate to achieve this, using the difference of squares method. The tutorial walks through the steps of simplifying expressions and concludes with a final simplified result, emphasizing the importance of canceling out terms to achieve a rational denominator.

Why is it necessary to remove a radical from the denominator?

• Because it makes the expression undefined

• Because it makes the expression complex

• Because it makes the expression imaginary

• Because it makes the expression irrational

What is the purpose of multiplying by the conjugate?

• To change the sign of the expression

• To add more radicals to the expression

• To eliminate the radical from the denominator

• To make the expression more complex

What mathematical property is used when multiplying by the conjugate?

• Commutative Property

• Difference of Squares

• Distributive Property

• Associative Property

After applying the conjugate, what is the next step in simplifying the expression?

• Multiplying by another conjugate

• Adding more radicals

• Applying the distributive property

• Dividing by zero

What is the final simplified form of the expression?

• 16 - 2

• 24 - 6 radical 2 over 14

• 8 radical 2

• 12 - 3 / 7 radical 2