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# Algebra

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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.

!

Oct 31, 2021