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Radicals in Fractions - Rationalizing Denominators

Rationalize the denominators in the following fractions:

  1.  $\dfrac{1}{\sqrt{5}}$ 

     
  2. $\dfrac{2}{\sqrt{2}}$ 

     
  3. $\dfrac{3}{2\sqrt{3}}$ 

     
  4. $\dfrac{\sqrt{2}}{\sqrt{3}}$ 

     
  5. $\dfrac{2\sqrt{3}}{\sqrt{5}}$ 

     
  6. $\dfrac{3\sqrt{5}}{\sqrt{5}}$ 

     
  7. $\dfrac{\sqrt{4}}{\sqrt{5}}$ 

     
  8. $\dfrac{2\sqrt{2}}{\sqrt{5}\sqrt{2}}$ 

     
  9. $\dfrac{2}{\sqrt[3]{3}}$ 

     
  10. $\dfrac{1}{\sqrt[4]{2}}$