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Adding and Subtracting Radicals

Example 1

Simplifying radicals before combining

Perform the indicated operations. Assume the variables represent positive numbers.

Solution

 
  Simplify each radical.
  Add like radicals.

Note that

  Use the LCD of 5.
   
  Simplify each radical.
  Add like radicals only.
 
  Simplify each radical.
   

 
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