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Rationalize the Denominator Calculator
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Rationalize the Denominator means eliminating the roots in the fractions. Online Rationalize the Denominator Calculator is a tool which makes calculations easy and fun. It is used to rationalize the denominator. Try our Rationalize the Denominator Calculator and get your problems solved instantly.

Below is given a default rational expression, you could see how to rationalize the denominator using  this calculator.
 

Steps for Rationalize the Denominator Calculator

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Step 1 :  

To rationalize the denominator, first multiply both the numerator and the denominator by the conjugate of the denominator.



Step 2 :  

Use distribute property (or FOIL) on both the numerator and the denominator.



Step 3 :  

Combine like terms and then simply it further.



Examples on Rationalize the Denominator Calculator

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  1. Rationalize the Denominator:4/(sqrt(6)+ sqrt(5)).


    Step 1 :  

    (4/(sqrt(6)+ sqrt(5)))*((sqrt(6)-sqrt(5)))/((sqrt(6)-sqrt(5)))



    Step 2 :  

    4*(sqrt(6)-sqrt(5))/(sqrt(6)+ sqrt(5))*(sqrt(6)-sqrt(5)) =>(4*sqrt(6)- 4*sqrt(5))/(sqrt(6))^2-(sqrt(5))^2 [(a+b)(a-b)=a^2-b^2] =>(4*sqrt(6)- 4*sqrt(5))/(6-5)



    Step 3 :  

    =>(4*sqrt(6)- 4*sqrt(5))/1 => 4*(2.449)- 4*(2.236) => 9.798 - 8.944 => 0.854



    Answer  :  

    0.854



  2. Rationalize the Denominator:6/(sqrt(11)+ sqrt(13)).


    Step 1 :  

    (6/(sqrt(11)+ sqrt(13)))*((sqrt(11)-sqrt(13)))/((sqrt(11)-sqrt(13)))



    Step 2 :  

    6*(sqrt(11)-sqrt(13))/(sqrt(11)+ sqrt(13))*(sqrt(11)-sqrt(13)) =>(6*sqrt(11)- 6*sqrt(13))/(sqrt(11))^2-(sqrt(13))^2 [(a+b)(a-b)=a^2-b^2] =>(6*sqrt(11)- 6*sqrt(13))/(11-13)



    Step 3 :  

    =>(6*sqrt(11)- 6*sqrt(13))/-2 => 6*(3.317)- 6*(3.606)/(-2) => -(1.734)/(-2) => 0.867



    Answer  :  

    0.867



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