Combining Operations
Now we will simplify some radical expressions that involve more than one
operation.
Example 1
Simplify:

Solution |
 |
Factor each radicand.
|
 |
Write each radical as
the product of radicals.
|
 |
Simplify square roots
of perfect squares.
|
 |
For each term, multiply
the radicals. |
 |
Combine like radical
terms.
|
 |
Therefore, |
 |
Example 2
Simplify:

Solution |
 |
To remove the parentheses,
distribute
|
 |
Multiply
by
Then
factor the radicand.
|
 |
Simplify the second term:
|
 |
Combine like radical terms.
|
 |
Thus, |
 |
|