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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.

 Aug 2, 2024
 #1
avatar+1858 
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\(f(x) = \sqrt{x - \sqrt{x}}.\)

 

This is impossible. No such 3 digit numbers exist for x.

 Aug 2, 2024
edited by NotThatSmart  Aug 2, 2024

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