Сократите дробь x-18/√x+3√2

[latex]\frac{x-18}{\sqrt x+3\sqrt2}=\frac{(\sqrt x)^2-(3\sqrt2)^2}{\sqrt x+3\sqrt2}=\frac{(\sqrt x-3\sqrt2)(\sqrt x+3\sqrt2)}{\sqrt x+3\sqrt2}=\sqrt x-3\sqrt2.\\\\18=9*2=3^2*\sqrt2^2.[/latex]