An equation with multiple radical radicals.

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SUMMARY

The forum discussion revolves around solving the equation 1/(√x+√(x+2)) + 1/(√x+√(x-2)) = 1/4. The solution provided is x = 257/16, achieved through manual calculations. Participants express appreciation for the complexity of the problem, highlighting its deceptive simplicity.

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  • Explore techniques for simplifying radical expressions
  • Study methods for solving equations with multiple radicals
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Here's a slight brainteaser for you all ! Seems simple at sight but can be harder than you think :D P.S I'm working on it as of now, it's an interesting question.
Solve :
1/(√x+√(x+2))+1/(√x+√(x-2))=1/4
 
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x = 257/16 and i did the old fashioned way, by hand
 
Well, good job to you, sir.
 

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