Learn how to simplify the product of the cube root of two numbers ex 6

The video tutorial explains how to simplify radical expressions, focusing on cube roots. It begins by discussing the concept of radical expressions and the difference between square and cube roots. The tutorial then demonstrates the process of simplifying cube roots by identifying perfect cubes and using them to break down the expression. The final result is achieved by multiplying the simplified components, providing a clear example of the simplification process.

What is the main difference between a square root and a cube root?

• A square root is only applicable to even numbers.

• A square root is always larger than a cube root.

• A square root involves multiplying a number by itself three times, while a cube root involves multiplying a number by itself twice.

• A square root involves multiplying a number by itself twice, while a cube root involves multiplying a number by itself three times.

Which of the following is a perfect cube?

• 20

• 18

• 27

• 16

How can the number 54 be expressed in terms of perfect cubes?

• As a product of 18 and 3

• As a product of 27 and 2

• As a product of 12 and 4

• As a product of 9 and 6

What is the cube root of 27?

• 5

• 3

• 4

• 2

What is the final simplified form of 20 times the cube root of 54?

• 50 times the cube root of 5

• 30 times the cube root of 4

• 60 times the cube root of 2

• 40 times the cube root of 3