Question
Question 8 - of 8 step 1 of 1
Simplify the expression by combining the radical terms using the indicated operation(s).
Answer 2 Points
Simplify the expression by combining the radical terms using the indicated operation(s).
Ask by Higgins Black. in the United States
Mar 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is
.
Solution
We start with the expression:
Step 1: Identify like terms. The first two terms have the same cube root,
, so they can be combined.
Step 2: The third term,
, is different because the radicand is
. It does not combine with
.
Step 3: Write the simplified expression:
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The Deep Dive
To simplify the expression
, start by combining the like terms. The first two terms can be combined:
. Thus, your expression simplifies to:
Now, this is the simplest form you can achieve with the terms given. You can’t combine the two radical terms further because they contain different contents.
If you want to explore beyond the symbols, think about how radicals are often used in real-world contexts, like calculating the volume of cubes or the side length of cube-shaped objects. In engineering and architecture, understanding these roots helps design spaces and structures efficiently!