Multiplying and dividing radicals

Lessons

• Introduction
  a)

  How to simplify radicals?
  
  
  b)

  • What is a radical?
  • How to multiply radicals?
  • How to divide radicals?
  • General rules when we are dealing with variables in radicals
  
  

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• 1.
  Write the following as a single radical = $\sqrt{x}$
  
  a)

  $\sqrt{3} \times \sqrt{8}$
  
  
  
  b)

  $\sqrt{7 \times 11}$
  
  
  
  c)

  $\sqrt{150} \over \sqrt{15}$
  
  
  
  d)

  $\frac{( \sqrt{20} \times \sqrt{5})} {\sqrt{64}}$
  
  
  

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• 2.
  Express the following radicals as a product of radicals
  a)

  $\sqrt{45}$
  
  
  
  b)

  - $\sqrt{77}$
  
  
  

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• 3.
  Multiplying and dividing radicals
  a)

  -4$\sqrt{2}$ * - $\sqrt{2}$
  
  
  
  b)

  5$\sqrt{2}$ * 6 $\sqrt{10}$ * 7 $\sqrt{50}$
  
  
  
  c)

  $\sqrt{3 }$ ( $\sqrt{8} + 4)$
  
  
  
  d)

  (4 $\sqrt{10 }$ - 3 $\sqrt{6}$ )(5 $\sqrt{2 } - \sqrt{5} )$
  
  
  

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