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 |