Answer:
Given that,
[tex]\sqrt[]{-50x}[/tex]
Since x>0 (it is positive)
we get,
[tex]=\sqrt[]{-1(50)(x)}[/tex]
From complex number we have that,
[tex]\begin{gathered} i=\sqrt[]{-1} \\ \text{that is, }i^2=1 \end{gathered}[/tex]
using this we get,
[tex]=i\sqrt[]{50x}[/tex][tex]\begin{gathered} =i\sqrt[]{25\times2\times x} \\ =5i\sqrt[]{2x} \end{gathered}[/tex]
The simplified epression of the given square root is,
[tex]=5i\sqrt[]{2x}[/tex]
