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, 

