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,