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Rationalizing the Denominator

The process by which a fraction is rewritten so that the denominator contains only rational numbers. A variety of techniques for rationalizing the denominator are demonstrated below.

 

Square Roots
(a > 0, b > 0, c > 0)
Examples

 

 

 

 

 

 

nth Roots
(a > 0, b > 0, c > 0)
Examples

 

 

 

Example

 

See also

Square root rules, nth root rules, irrational numbers, factoring rules

 


  this page updated 27-aug-12
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
NCTM Web Bytes December 2004 Web Bytes March 2005 Web Bytes