Aplicamos a regra: $\frac{a}{b}$$=\frac{a}{b}\frac{radicalfactor\left(b\right)}{radicalfactor\left(b\right)}$, onde $a=53x$ e $b=\sqrt{96-20x-4x^2}$

Aplicamos a regra: $\frac{a}{b}\frac{c}{f}$$=\frac{ac}{bf}$, onde $a=53x$, $b=\sqrt{96-20x-4x^2}$, $c=\sqrt{96-20x-4x^2}$, $a/b=\frac{53x}{\sqrt{96-20x-4x^2}}$, $f=\sqrt{96-20x-4x^2}$, $c/f=\frac{\sqrt{96-20x-4x^2}}{\sqrt{96-20x-4x^2}}$ e $a/bc/f=\frac{53x}{\sqrt{96-20x-4x^2}}\frac{\sqrt{96-20x-4x^2}}{\sqrt{96-20x-4x^2}}$

Aplicamos a regra: $x\cdot x$$=x^2$, onde $x=\sqrt{96-20x-4x^2}$

Aplicamos a regra: $\left(x^a\right)^b$$=x$, onde $a=\frac{1}{2}$, $b=2$, $x^a^b=\left(\sqrt{96-20x-4x^2}\right)^2$, $x=96-20x-4x^2$ e $x^a=\sqrt{96-20x-4x^2}$