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Like Radical Terms
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Like Radical Terms

Like terms are terms that have the same variables raised to the same power. For example, 3y2 and 8y2 are like terms. Like radical terms are terms whose radical parts have the same index and the same radicand.

For example, and are like radical terms. Each radical has index 3 and radicand 4x.

However, and are not like radical terms because each radical has a different index. In particular, one radical is a square root and the other is a cube root.

 

Example 1

Identify the like radical terms.

Solution

• and  are like radical terms. Each has index 2 and radicand 7xy.

• are like radical terms. Each has index 3 and radicand 7xy. 23 7xy 9

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