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

 Jun 19, 2024

Best Answer 

 #1
avatar+42 
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If we rationalize the denominator, we get \(-\frac{\sqrt2-\sqrt3}{1}-\frac{\sqrt2+\sqrt3}{1}\). If we combine like terms, we get \(-2\sqrt2\).

 

Feel free to tell me if I did anything wrong! :D

 Jun 19, 2024
 #1
avatar+42 
+1
Best Answer

If we rationalize the denominator, we get \(-\frac{\sqrt2-\sqrt3}{1}-\frac{\sqrt2+\sqrt3}{1}\). If we combine like terms, we get \(-2\sqrt2\).

 

Feel free to tell me if I did anything wrong! :D

Tottenham10 Jun 19, 2024

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