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Cube Roots

2 is a cube root of 8 , since. - 2 is a cube root of - 8 , since. Cube Roots. a is a cube root of b if and only if. Example 1. Note a key difference between square roots and cube roots:. Square Root. Cube Root. The number 9 has two square roots, -3 and 3.

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Cube Roots

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

  2. Note a key difference between square roots and cube roots: Square Root Cube Root 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.

  7. END OF PRESENTATION

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