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, |
|
|