Simplifying the quotient of the cube root of two expressions by rationalizing the denomi

The video tutorial explains the rule for dividing variables under the same radical, simplifies an expression by reducing fractions, and discusses rationalizing the denominator. It further elaborates on multiplying radicals with the same index and concludes with the final simplified expression.

What is the rule for dividing variables under the same radical when the indexes are the same?

• You can add the variables.

• You can subtract the variables.

• You can divide the variables.

• You can multiply the variables.

Why is it important to rationalize the denominator in radical expressions?

• To add more radicals to the expression.

• To simplify the numerator.

• To ensure the denominator is a whole number.

• To make the expression more complex.

What is the first step in rationalizing the denominator of a radical expression?

• Multiply the denominator by itself.

• Add a radical to the numerator.

• Subtract the numerator from the denominator.

• Break apart the expression.

When multiplying radicals to rationalize the denominator, what must be true about the indexes?

• They must be different.

• They must be the same.

• They must be negative.

• They must be zero.

What is the result of multiplying the cube root of 2 squared by itself?

• Cube root of 4

• Cube root of 2

• Cube root of 8

• Cube root of 6