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Let
f(x) = \sqrt{x - \sqrt{x}}.
Find the largest three-digit value of $x$ such that $f(x)$ is an integer.

 Jul 10, 2024
 #1
avatar+1252 
+1

It is impossible for thius to happen. 

We have

\(f(x) = \sqrt{x - \sqrt{x}}.\)

 

No such integers exist. 

 

Thanks! :)

 Jul 10, 2024

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