[tex]L=\dfrac{\sqrt[4]{96} -\sqrt[4]{64} }{\sqrt[4]{6} -\sqrt[]{4} } =\dfrac{\sqrt[4]{16\cdot 6} -\sqrt[4]{16\cdot 4} }{\sqrt[4]{6} -\sqrt[]{4} } =\dfrac{\sqrt[4]{2^{4} \cdot 6} -\sqrt[4]{2^{4} \cdot 4} }{\sqrt[4]{6} -\sqrt[]{4} } =\\\\\\=\dfrac{2\sqrt[4]{ 6} -2\sqrt[4]{ 4} }{\sqrt[4]{6} -\sqrt[]{4} } =\dfrac{2(\sqrt[4]{ 6} -\sqrt[4]{ 4}) }{\sqrt[4]{6} -\sqrt[]{4} }=2\\\\P=2\\\\L=2 ~~\land ~~P=2~~\Rightarrow ~~L=P~~cbdu[/tex]
