9.4

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9.4 Multiplying and Dividing Radicals

• Multiplication Property of Square Roots
• Division Property of Square Roots

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For any numbers a 0 and b 0

• Steps to Multiply
• Multiply non-radical parts.
• Multiply radical parts.
• Simplify the radical.

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For any numbers a 0 and b 0

• Steps to Divide (Rationalizing the denominator)
• Multiply top and bottom by radical on bottom.
• Simplify radical on top.
• Reduce fraction.

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Your Turn!!
Evaluate
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• When simplifying radicals, I need to find a
  _________
• square (preferably the largest) that divides
  into the radical.
• When dividing radicals, I must ____________ the
  denominator.