1. Cube Roots
a is a cube root of b if and only if
Example 1
2 is a cube root of 8, since
- 2 is a cube root of - 8, since

2. Note a key difference between square roots and cube roots:
The number 9 has two square roots, -3 and 3.
The number 8 has one cube root, 2.

3. Recall that when using radical notation, the square root is equal to the principal (nonnegative) square root.
Also, when simplifying a square root, it was sometimes necessary to use an absolute value sign.
The cube root is much simpler, and is defined as:

4. Example 2
Evaluation
Reasoning

5. Example 3
Simplify

6. Example 4
Simplify
First write the radicand as a quantity cubed.

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END OF PRESENTATION
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