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Simplify \dfrac{1}{\sqrt2+sqrt3}+\dfrac{1}{\sqrt2-sqrt3}.

 
 Feb 2, 2025
 #1
avatar+130313 
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\( \dfrac{1}{\sqrt2+sqrt3}+\dfrac{1}{\sqrt2-sqrt3}. \)

 

[ sqrt 2 - sqrt 3 + sqrt 2 + sqrt 3]

__________________________ =

[sqrt 2 + sqrt 3] [ sqrt 2 -sqrt 3]

 

 

     2sqrt 2

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     2     -   3 

 

- 2sqrt 2

 

cool cool cool

 Feb 2, 2025

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