Conversion between entire radicals and mixed radicals

Lessons

• Introduction
  conversion between "entire radical" & "mixed radical"

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• 1.
  Converting to Mixed Radicals
  Convert the following radicals to mixed radicals.
  a)

  $\sqrt {486}$
  
  
  b)

  ${^3}\sqrt{{8000}}$
  
  
  c)

  ${^5}\sqrt{{160}}$
  
  
  d)

  $3{^3}\sqrt{{ - 200}}$
  
  
  e)

  $\frac{1}{2}\sqrt {25}$
  
  
  f)

  $0.5\sqrt {6.25}$
  
  

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• 2.
  Converting to Entire Radicals
  Convert the following mixed radicals to entire radicals.
  a)

  $3\sqrt 2$
  
  
  b)

  $- 4\sqrt 5$
  
  
  c)

  $- 5{^3}\sqrt{{16}}$
  
  
  d)

  $\frac{1}{2}\sqrt 3$
  
  
  e)

  $0.6{^3}\sqrt{{50}}$
  
  

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• 3.
  Comparing Radicals
  Rank the mixed radicals below in order from least to greatest. Do not use a calculator.
  

   i) $5\sqrt {3}$         ii)  $6\sqrt {4}$       iii)  $3\sqrt {5}$       iv) $4\sqrt {6}$       v) $\sqrt {95}$ 

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