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For how many real values of x is sqrt(63 - 3*sqrt(x)) an integer?

 Oct 31, 2021
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For how many real values of x is sqrt(63 - 3*sqrt(x)) an integer?

 

Hello Guest!

 

\(f(x)=\sqrt{63 - 3\cdot \sqrt{x}}\in \mathbb Z\)

      \(x\in \{81,324\} \)

 \(f(x)\in \{\ 6\ ,\ 3\ \}\)

 

For two real values of x is sqrt(63 - 3*sqrt(x)) an integer.

laugh  !

 Oct 31, 2021

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