Learn How to Multiply the Cube Root of Two Radical Expressions

The video tutorial addresses common misconceptions about taking roots of negative numbers, emphasizing that even roots cannot be taken from negative numbers, while odd roots can. The instructor demonstrates how to simplify expressions using cube roots and explains the rules for multiplying radicals. The tutorial includes step-by-step simplification of expressions and encourages students to practice these techniques. The session concludes with a Q&A to ensure understanding.

Which type of root can be taken from a negative number?

• Sixth root

• Square root

• Fourth root

• Cube root

What is the result of applying the identity element to the cube root of y^3?

• y

• y^3

• y^2

• 1

How can the NTH root of a product be expressed?

• As the sum of the NTH roots

• As the difference of the NTH roots

• As the quotient of the NTH roots

• As the product of the NTH roots

What is the first step in simplifying the expression -9 * 12?

• 108

• -108

• 21

• -21

What is the cube root of -3^3?

• -9

• 9

• -3

• 3

What is the simplified form of the expression -3XY times the cube root of 4Y?

• -3X * cube root of 4Y

• 3XY * cube root of 4Y

• 3X * cube root of 4Y

• -3XY * cube root of 4Y

What should you do if you encounter a non-cube number like 108 in an expression?

• Divide it by 3

• Rewrite it as a product of a cube number

• Leave it as is

• Multiply it by 3