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Rationalize the denominator of 5/2 - square root 3, and write your answer in the form A + Bsqaure root 3/C where the fraction is in lowest terms. What is A+B+C?

 Mar 19, 2020
 #1
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+1

 

I would multiply both the numerator and the denominator by [2 + sqrt(3)].  That would make the denominator 1 and then you just work on the numerator. 

 Mar 19, 2020
edited by Guest  Mar 19, 2020
 #2
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+2

I assume  this is  :

 

        5

__________    multiply top / bottom  by   the conjugate  2 +  √3 

   2  -   √3

 

 

        5  [ 2 + √3 ]                              5 [ 2 + √3]            10 + 5√3

    __________________  =       ____________  =    _________  

      [ 2 - √3]  [ 2 + √3 ]                        4  -  3                     1

 

A =  10   B  = 5   C  =  1

 

A  +  B    +   C    =       16

 

 

cool cool cool

 Mar 19, 2020

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