[tex]\begin{gathered} \sqrt[]{50x^3}-\sqrt[]{25x^3}+5\sqrt[]{x^3}-\sqrt[]{2x^3}= \\ =\sqrt[]{5^2\cdot2x^3}-\sqrt[]{5^2x^3}+5\sqrt[]{x^3}-\sqrt[]{2x^3}= \\ =\sqrt[]{5^2}\cdot\sqrt[]{2x^3}-\sqrt[]{5^2}\cdot\sqrt[]{x^3}+5\sqrt[]{x^3}-\sqrt[]{2x^3}= \\ =5\sqrt[]{2x^3}-5\sqrt[]{x^3}+5\sqrt[]{x^3}-\sqrt[]{2x^3}= \\ =4\sqrt[]{2x^3}= \\ =4\sqrt[]{2x^2\cdot x}= \\ =4x\sqrt[]{2x} \end{gathered}[/tex]
