# Simplify Cube Roots

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Examples, solutions, videos, worksheets, games, and activities to help Algebra 1 students learn how to find the cube root of a number and to simplify cube roots.

The following diagram shows some examples of simplifying cube roots. Scroll down the page for more examples on how to simplify cube roots. Simplify Cube Roots
How to simplify cube roots that do not simplify perfectly?

How to find the cube root of a number?
A square root is an exponent of one-half. A cube root is an exponent of one-third. Square roots of negative numbers do not have real number roots since the product of any real number and itself is positive. Cube roots do exist for negative numbers since the product of three negatives is a negative

Simplifying Cube Roots
Students also learn to simplify a cube root by setting up a factor tree for the number inside the radical. If a factor is part of a group of three factors that are the same, then it comes out of the radical. If a factor is not part of a group of three factors that are the same, then it stays inside.

Simplifying cube roots - Perfect cubes and harder examples

Simplify cube roots

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations. 