Using prime factorization to simplify the cube root of an expression

The video tutorial covers the basics of square, cube, and 4th roots, emphasizing that while square roots are familiar, cube and 4th roots are less common. The teacher recommends using a factor tree to simplify these roots. An example is provided, demonstrating the simplification of the number 81 using its prime factors. The tutorial concludes with a method for simplifying radical expressions by breaking them down into their prime factors.

What is the best method recommended for simplifying square roots and cube roots?

Explain the process of creating a factor tree for the number 81.9.

How can you express the cube root of 81 in terms of its prime factors?

Describe the easiest way to simplify radical expressions according to the text.

What is the relationship between the cube root of 3 * 3 * 3 and the number 3?