How to apply the product rule of radicals, cube root

The video tutorial explains the product property of radicals, demonstrating how to break down square roots and cube roots into simpler components. It uses examples like sqrt 36 and cube root of 125 to illustrate the concept. The tutorial emphasizes understanding the property and applying it to various roots, concluding with simplifying expressions involving cube roots.

What is the result of breaking down sqrt(36) using the product property of radicals?

• sqrt(12) * sqrt(3)

• sqrt(6) * sqrt(6)

• sqrt(9) * sqrt(4)

• sqrt(18) * sqrt(2)

Which of the following statements is true about the product property of radicals?

• It is the same as the associative property.

• It can be applied to any type of root.

• It cannot be used for cube roots.

• It only applies to square roots.

How can the cube root of T^6 be expressed using the product property?

• T^3

• T^2 raised to the third power

• T^1.5

• T^6

What is the cube root of 125?

• 5

• 6

• 4

• 3

Why can't W^2 be simplified further when applying the cube root?

• Because it is an even number.

• Because it is already in its simplest form.

• Because it requires a fraction to simplify.

• Because it is not a perfect cube.