Simplicação de uma raiz cubica de uma função

Take the number back down to one dimension

Taking a number to the $2$nd power creates that number's "square": a two-dimensional shape where each edge's length is equal to that number. Taking a number to the $3$rd power creates the "cube" of that number, which you can imagine as a three-dimensional shape where the length each side is equal to that number.

If you continue using this logic, a number to the $n$ power can be thought of as an $n$-dimensional shape, where the length of each side is equal to that number.

Roots are the reverse: When you take the root of a number, you're taking that number down to just one dimension. In other words, you're figuring out what the length of any one side of the shape is.

This equation can be simplified to $2x+1$, since we're taking $2x+1$ to the third power and then immediately taking the cube root of that. Similarly, ($\sqrt[3]{2x+1})^3$ is also equal to $2x+1$.

(Video) Simplify a Cube Root with Variables

by Mr. Cary

Mr. Cary has a very good video explaining how to simplify cube roots.

(Video) Simplifying Cube Roots

by Math Meeting

Math Meeting has a good video explaining how to simplify cube root functions.