Given expression:
[tex]\frac{\sqrt{250x^{16}}}{\sqrt{2x}}[/tex]
simplify the expression,
[tex]\begin{gathered} =\sqrt{\frac{250x^{16}}{2x}} \\ =\sqrt{125x^{15}} \\ =\sqrt{125}\sqrt{x^{15}} \\ =\sqrt{125}x^7\sqrt{x} \\ =5\sqrt{5}x^7\sqrt{x} \end{gathered}[/tex]
The simplified answer is,
[tex]=5\sqrt{5}x^7\sqrt{x}[/tex]
