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Dividing Radicals

Example 1

Simplifying radical expressions

Simplify.

Solution

a) First write in simplified form. Then simplify the expression.

Simplify
  Factor.
  Divide out the common factor.

Caution

To simplify the expressions in Example 1, you must simplify the radical, factor the numerator, and then divide out the common factors. You cannot simply “cancel” the 4’s in or the 2’s in  because they are not common factors.

 
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