Question

If $\frac{-3}{x}=\frac{x}{27}$, then the value of, $x$ is ............

• A. A rational number.
• B. Not a rational number.
• C. An integer
• D. A natural number

Answer 1

The correct option is B Not a rational number.

$\frac{-3}{x}=\frac{x}{27}$
$x\times x=-3\times 27$
$\Rightarrow x^2=-81\Rightarrow x^2=-81$
$x=\sqrt{-81}$, which is not a rational number.