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avatar+1212 

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

 Jun 22, 2024
 #1
avatar+1752 
0

The answer is x = 985.

 Jun 22, 2024
 #2
avatar+129820 
+1

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

 

No such three-digit integer exists

 

 

cool cool cool

 Jun 22, 2024

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