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

The video tutorial explains how to calculate cube roots, focusing on both numbers and variable expressions. It begins with an introduction to square, cube, and 4th roots, then moves on to discuss variables and linear factorization. The instructor demonstrates how to break down the cube root of X to the fifth power, emphasizing the concept of grouping terms. The tutorial includes examples to clarify the process of finding cube roots, concluding with a final explanation of the remaining terms under the cube root.

What is the cube root of a number?

• A number multiplied by itself twice

• A number multiplied by itself three times

• A number multiplied by itself four times

• A number divided by itself

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 squared

• X

• X to the fourth power

• X cubed

Why can't the cube root be taken when there are only two X's left?

• Because you need at least two X's

• Because you need at least three X's

• Because you need at least five X's

• Because you need at least four X's

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

• X cube root of X

• X cubed cube root of X

• X cube root of X squared

• X squared cube root of X