Tutorial Using prime factorization to take cube root of a simple variable expression, cube root(x^5)

The video tutorial explains how to take cube roots, focusing on variable expressions. It begins with an introduction to roots, including square and fourth roots, and then delves into cube roots. The instructor demonstrates how to simplify the cube root of X to the fifth power by grouping terms and explains the concept of linear factorization. The tutorial concludes with a final explanation of cube root simplification, emphasizing the importance of grouping terms correctly.

What is the cube root of a number?

• A number multiplied by itself twice

• A number multiplied by itself five times

• A number multiplied by itself three times

• A number multiplied by itself four times

How can the cube root of X to the fifth power be rewritten?

• X * X * X * X * X

• X * X * X

• X * X * X * X

• X * X

What does the cube root of X cubed equal?

• X to the fourth power

• X

• X cubed

• X squared

Why can't the cube root be taken of two X's?

• Because you need five X's to take a cube root

• Because you need two X's to take a cube root

• Because you need four X's to take a cube root

• Because you need three X's to take a cube root

What is the final expression when taking the cube root of X to the fifth power?

• X squared cube root of X

• X cubed cube root of X

• X cube root of X cubed

• X cube root of X squared