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Adding and Subtracting Radical Expressions


To find the exact perimeter of quadrilateral ABCD, you will need to add radical expressions.

Radical expressions with the same radicands can be added or subtracted in the same way that monomials are added or subtracted.

          

Notice that the Distributive Property was used to simplify each radical expression.

 

Example

Simplify each expression.

   


    Alternative Solutions:

 


   

     Alternative Solutions:


Example

Geometry Link

3. Refer to the beginning of the lesson. Find the exact perimeter of quadrilateral ABCD. 

Alternative Solutions:

  

 

The exact perimeter of quadrilateral ABCD is .

 

In Example 3, the expression  cannot be simplified further for the following reasons.

·        The radicands are different.

·        There are no common factors.

·        Each radicand is in simplest form.

 

If the radicals in a radical expression are not in simplest form, simplify them first. Then use the Distributive Property wherever possible to further simplify the expression.

 

Example

4.     Simplify 

Alternative Solutions:

  

 


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Labels: Mathematician

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